RUDN University Main Publications

1. A Metal-Free Oxidative Dehydrogenative Diels-Alder Reaction for Selective Functionalization of Alkylbenzenes

Manna, Srimanta, Antonchick, Andrey P.

(Q 1) CHEMISTRY-A EUROPEAN JOURNAL, VL 23

Functionalization of C(sp(3))-H bonds under metal-free reaction conditions is a great challenge due to poor bond reactivity. A novel metal-free oxidative dehydrogenative Diels-Alder reaction of alkylbenzene derivatives with alkenes through C(sp(3))-H bond functionalization is described. The developed oxidative method provides a straightforward approach to biologically relevant 1,4-phenanthraquinone and isoindole derivatives from readily available starting materials. Furthermore, the synthesis of nitrostyrenes from enylbenzene derivatives by selective C(sp(3))-H bond functionalization has been demonstrated.

2. A QUEUEING SYSTEM WITH HETEROGENEOUS IMPATIENT CUSTOMERS AND CONSUMABLE ADDITIONAL ITEMS

Baek, Janghyun, Dudina, Olga, Kim, Chesoong

(Q 1) INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, VL 27

A single-server queueing system with a marked Markovian arrival process of heterogeneous customers is considered. Type-1 customers have limited preemptive priority over type-2 customers. There is an infinite buffer for type-2 customers and no buffer for type-1 customers. There is also a finite buffer (stock) for consumable additional items (semi-products, half-stocks, etc.) which arrive according to the Markovian arrival process. Service of a customer requires a fixed number of consumable additional items depending on the type of the customer. The service time has a phase-type distribution depending on the type of the customer. Customers in the buffer are impatient and may leave the system without service after an exponentially distributed amount of waiting time. Aiming to minimize the loss probability of type-1 customers and maximize throughput of the system, a threshold strategy of admission to service of type-2 customers is offered. Service of type-2 customer can start only if the server is idle and the number of consumable additional items in the stock exceeds the fixed threshold. Stationary distributions of the system states and the waiting time are computed. In the numerical example, we show some interesting effects and illustrate a possibility of application of the presented results for solution of optimization problems.

3. Composition dependence of the multifunctional properties of Nd-doped Bi4Ti3O12 ceramics

Ivanov, Sergey A., Sarkar, Tapati, Fortalnova, Elena A., Politova, Ekaterina D., Stefanovich, Sergey Yu., Safronenko, Marina G., Nordblad, Per, Mathieu, Roland

Q 2 JOURNAL OF MATERIALS SCIENCE-MATERIALS IN ELECTRONICS VL 28

Sample preparation, evolution of the crystal structure with Nd content at room temperature, as well as dielectric and magnetic properties of polycrystalline Bi4-xNdxTi3O12 solid solutions (x = 0.0, 0.5, 1.0, 1.5, and 2.0) are reported. These solid solutions were structurally characterized by X-ray powder diffraction using Rietveld refinements. For x <= 1.0, the samples crystallize in an orthorhombic symmetry. The structural data could be refined using the polar orthorhombic space group B2cb. The orthorhombicity decreases with increasing Nd3+ concentration, and a paraelectric tetragonal structure (space group I4/mmm) is stabilized for x > 1. The ferroelectric Curie temperature was found to monotonously decrease with increasing Nd concentration. A polar-to-nonpolar phase transition takes place near x = 1, reflecting the existence of a morphotropic phase boundary between 1.0 < x < 1.5 at room temperature. All samples were found to be paramagnetic down to 5 K, however, the presence of significant antiferromagnetic interaction is inferred from Curie-Weiss analyses of the temperature dependence of the magnetic susceptibility of the doped samples. The effect of Nd3+ substitution on structure-property relationship is discussed and compared to that of other lanthanide cations.

4. Serum trace elements are associated with hemostasis, lipid spectrum and inflammatory markers in men suffering from acute ischemic stroke

Skalny, Anatoly V., Klimenko, Lydmila L., Turna, Aliya A., Budanova, Maria N., Baskakov,Ivan S., Savostina, Marina S., Mazilina, Aksana N., Deyev, Anatoly I., Skalnaya, Margarita G., Tinkov, Alexey A.

(Q 2) METABOLIC BRAIN DISEASE, VL 32

The primary objective of the study is investigation of the association between trace elements status and hemostasis, lipid spectrum and inflammatory markers in acute ischemic stroke (AIS). A total of 30 men suffering from AIS and 30 healthy controls were involved in the current survey. Blood count, serum lipid spectrum, complement components C4 and C3a, vascular endothelial growth factor (VEGF), S100B protein, NR2 antibodies (NR2Ab), and total antioxidant status (TAS), as well as plasma fibrinogen, and D-dimer levels and activated partial thromboplastin time (APTT) were assessed. Serum trace elements were analyzed using inductively coupled plasma mass spectrometry. AIS patients were characterized by significantly increased fibrinogen, D-dimer, TG, C3a, C4, NR2Ab, and VEGF levels. The leukocyte count, erythrocyte sedimentation rate and serum atherogenic index were also increased in stroke patients. Oppositely, TAS and APTT values, bleeding and blood coagulation time were decreased. AIS patients were characterized by significantly decreased serum Fe and Co concentrations, whereas the level of Cu, I, Li, Mn, Se, Zn, As, Pb, Ni, and especially V and B in serum was significantly increased. Serum V and B tightly correlated with the procoagulant state and inflammatory markers. Multiple regression analysis revealed a significant inverse association between serum Se levels and stroke markers after adjustment for covariates. Therefore, it is hypothesized that elements like vanadium and boron may be closely involved in stroke pathogenesis by modulation of hemostasis and inflammation, whereas the observed increase in Se levels may be considered as a compensatory reaction.

5. Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics

Mashtakov, A., Duits, R., Sachkov, Yu., Bekkers, E. J., Beschastnyi, I.

(Q 1) JOURNAL OF MATHEMATICAL IMAGING AND VISION, VL 58

In order to detect salient lines in spherical images, we consider the problem of minimizing the functional for a curve on a sphere with fixed boundary points and directions. The total length l is free, s denotes the spherical arclength, and denotes the geodesic curvature of . Here the smooth external cost is obtained from spherical data. We lift this problem to the sub-Riemannian (SR) problem in Lie group and show that the spherical projection of certain SR geodesics provides a solution to our curve optimization problem. In fact, this holds only for the geodesics whose spherical projection does not exhibit a cusp. The problem is a spherical extension of a well-known contour perception model, where we extend the model by Boscain and Rossi to the general case . For , we derive SR geodesics and evaluate the first cusp time. We show that these curves have a simpler expression when they are parameterized by spherical arclength rather than by sub-Riemannian arclength. For case (data-driven SR geodesics), we solve via a SR Fast Marching method. Finally, we show an experiment of vessel tracking in a spherical image of the retina and study the effect of including the spherical geometry in analysis of vessels curvature.

6. DNA and BSA binding and cytotoxic properties of copper(II) and iron(III) complexes with arylhydrazone of ethyl 2-cyanoacetate or formazan ligands

Martins, Nuno M. R., Anbu, Sellamuthu, Mahmudov, Kamran T., Ravishankaran, Rajendran, Guedes da Silva, M. Fatima C., Martins, Luisa M. D. R. S., Karande, Anjali A., Pombeiro, Armando J. L.

(Q 1) NEW JOURNAL OF CHEMISTRY, VL 41

Several known water soluble [Cu(1 kappa N,O-2:2 kappa O-HL1)(S)](2) [S = CH3OH (1), (CH3)(2)NCHO (2)] and [Cu(kappa N-HL1)(en)(2)]center dot CH3OH center dot H2O (3) Cu-II complexes were prepared by reaction of Cu-II nitrate hydrate with the new (E/Z)-4-(2-(1-cyano-2-ethoxy-2-oxoethylidene)hydrazinyl)-3-hydroxybenzoic acid (H3L1), in the presence (for 3) or absence (for 1 and 2) of ethylenediamine (en), while the Fe-III complex [Fe(kappa N-3-HL2)(2)] (4) was synthesized by treatment of iron(III) chloride hexahydrate with the new (1E,1E)-N’,2-di(1H-1,2,4-triazol-3-yl)diazenecarbohydrazonoyl cyanide (H3L2). The interaction of calf thymus DNA (CT DNA) and bovine serum albumin (BSA protein) with complexes 1-4 has been investigated by absorption and fluorescence titration methods. The observed DNA binding constants, number of DNA binding sites (s <= 1) for the complexes and viscosity data suggest the intercalative mode of binding to CT DNA. All the complexes show good binding propensity to the BSA protein, giving K-BSA values of 0.97(+/- 0.10) x 10(6) (1), 1.19(+/- 0.09) x 10(6) (2), 0.50(+/- 0.01) x 10(6) (3) and 1.06(+/- 0.08) x 10(6) M-1 (4). An in vitro anti-proliferative study establishes the anticancer potency of complexes 1-4 and cisplatin against the human cervical (HeLa) and breast (MCF7) cancer cell lines; noncancer breast epithelial (MCF10) cells were also investigated. The observed IC50 values of complexes 1 (8.3, 11.9 and 44.8 mu M), 2 (7.0, 7.1 and 35.6 mu M), 3 (18.1, 20.4 and 58.8 mu M), 4 (13.2, 15.1 and 79.4 mu M) and cisplatin (4.02, 3.42 and 89.5 mu M) against the HeLa, MCF7 and MCF-10a cells, respectively, suggest that 2 can be explored further as a potential anticancer drug.

7. Copper-Catalyzed Multicomponent Reactions: Synthesis of Fused 1,2,3-Triazolo-1,3,6-triazonines

Peringer, Fernando do Nascimento, Jose Edmilson R. Abib, Paola B. Barcellos, Thiago Van der Eycken, Erik V. Perin, Gelson Jacob, Raquel G. Alves, Diego

(Q 1) EUROPEAN JOURNAL OF ORGANIC CHEMISTRY, IS 18

We describe our results on the synthesis of fused 1,2,3-triazolo-1,3,6-triazonines through a copper-catalyzed multicomponent reaction. The products were obtained in moderate to excellent yields by the reaction of 2-azidobenzaldehydes, substituted diaminobenzenes and a range of terminal alkynes in the presence of a catalytic amount of copper iodide, with Et3N as base, in DMSO at 100 degrees C. This method proved to be efficient for the combinatorial synthesis of new medium-sized N-heterocyclic rings with potential applications in biological studies.

8. Self-assembled fractal hybrid dendrites from water-soluble anionic (thia)calix[4] arenes and Ag+

Yakimova, Luidmila S., Gilmanova, Leysan H., Evtugyn, Vladimir G., Osin, Yuri N., Stoikov, Ivan I.

(Q 2) JOURNAL OF NANOPARTICLE RESEARCH, VL 19

Novel water-soluble anionic p-tert-butylthiacalix[4]arene with propanesulfonate fragments has been synthesized. Alkylation of the lower rim of thiacalix[4]arene in the presence of NaH/THF led to cone conformation instead of the expected 1,3-alternate conformer due to metal template effect. The presence of supramolecular associates at the critical micelle concentration of 1.65.10(-5) M were investigated in aqueous solutions by a combination of different techniques (DLS and conductivity). It was observed that the macrocyclic platform decreases the CMC by tenfold as compared with non-macrocycle analogs. A simple approach for the design of stable monodisperse Ag-based nanoaggregates (near 95 nm) containing ionic Ag and organic ligand-thiacalix[4]arene sulfo derivative in water has been developed. Self-assembled fractal hybrid nanodendrites consisting of water-soluble anionic (thia)calix[4]arenes and Ag+ have been obtained in a single step under mild conditions.,

9. Improvement of cutting tool performance during machining process by using different shim

Rogov, Vladimir A., Ghorbani, Siamak, Popikov, Andrey N., Polushin, Nikolay I.

(Q 1) ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING, VL 17

Modem metal processing is characterized by high spindle speed machines causing high frequency vibrations. This significantly increases the requirements for stiffness and damping of cutting tool. The purpose of this study is to improve the quality of machined surface and the efficiency of hard turning using shim with high damping properties in the clamp set of insert. Five shims made of ceramic, epoxy granite, sandstone, granite and chlorite schist are proposed. Computer simulation and experimental investigation are provided to analysis the state of stress-strain in clamp set construction of insert. Static and dynamic characteristics of cutting tool with shim made of different materials are studied. In addition, the relationship between vibro-acoustic signal and material of the shim, wear of cutting edge, surface roughness and cutting conditions during hard turning are analyzed. It is concluded that using shim made of epoxy granite and sandstone improved damping capacity of the cutting tool and surface roughness by reducing vibration during machining process. © 2017 Politechnika Wroclawska. Published by Elsevier

10. Random perturbations of parametric autoresonance

Sultanov, Oskar

(Q 1) NONLINEAR DYNAMICS, VL 89

We consider a system of two nonlinear differential equations describing the capture into autoresonance in nonlinear oscillators under small parametric driving. Solutions with an infinitely growing amplitude are associated with the autoresonance phenomenon. Stability of such solutions is of great importance because only stable solutions correspond to physically observable motions. We study stability of autoresonant solutions with power asymptotics and show that the random fluctuations of the driving cannot destroy the capture into the parametric autoresonance.

11. Functional Inequalities for the Mittag-Leffler Functions

Mehrez, Khaled, Sitnik, Sergei M.

(Q 2) RESULTS IN MATHEMATICS, VL 72

In this paper, some Turan-type inequalities for Mittag-Leffler functions are considered. The method is based on proving monotonicity for special ratio of sections for series of Mittag-Leffler functions. Furthermore, we deduce the LazareviAc- and Wilker-type inequalities for Mittag-Leffler functions.

12. Parallel Equalization Structure for MIMO FBMC-OQAM Systems Under Strong Time and Frequency Selectivity

Rottenberg, Francois Mestre, Xavier Petrov, Dmitry Horlin, Francois Louveaux, Jerome

(Q 1) IEEE TRANSACTIONS ON SIGNAL PROCESSING, VL 65

Offset-QAM-based filterbank multicarrier (FBMC-OQAM) has been shown to be a promising alternative to cyclic prefix-orthogonal frequency division multiplexing for the future generation of wireless communication systems. Unfortunately, as the channel gets more selective in time and frequency, the FBMC-OQAM orthogonality is progressively destroyed and distortion appears after the demodulation process at the receiver. While channel frequency selectivity has been very widely studied in the FBMC literature, the impact of time selectivity of the channel has not received that much attention. In this paper, the effect of the two types of selectivity on a multiple-input multiple-output (MIMO) FBMC system is characterized and a parallel equalization structure that can compensate for the doubly dispersive nature of the channel is proposed. This design uses multiple analysis filterbanks and extends previous approaches that were dealing only with channel frequency selectivity. A theoretical approximation of the remaining distortion after equalization is given. The study is performed for a general MIMO system but can also be particularized to single-input single-output systems. Simulation results demonstrate the high efficiency of the proposed receiver structure and the accuracy of the theoretical approximations is verified.

13. Chalcogen bonding in synthesis, catalysis and design of materials

Mahmudov, Kamran T. Kopylovich, Maximilian N. Guedes da Silva, M. Fatima C. Pombeiro, Armando J. L.

(Q 1) DALTON TRANSACTIONS, VL 46

Chalcogen bonding is a type of noncovalent interaction in which a covalently bonded chalcogen atom (O, S, Se or Te) acts as an electrophilic species towards a nucleophilic (negative) region(s) in another or in the same molecule. In general, this interaction is strengthened by the presence of an electron-withdrawing group on the electron-acceptor chalcogen atom and upon moving down in the periodic table of elements, from O to Te. Following a short discussion of the phenomenon of chalcogen bonding, this Perspective presents some demonstrative experimental observations in which this bonding is crucial for synthetic transformations, crystal engineering, catalysis and design of materials as synthons/tectons.

14. Ligand-Driven Coordination Sphere-Induced Engineering of Hybride Materials Constructed from PbCl2 and Bis-Pyridyl Organic Linkers for Single-Component Light-Emitting Phosphors

Mahmoudi, Ghodrat Gurbanov, Atash V. Rodriguez-Hermida, Sabina Carballo, Rosa Amini, Mojtaba Bacchi, Alessia Mitoraj, Mariusz P. Sagan, Filip Kukulka, Mercedes Safin, Damir A.

(Q 1) INORGANIC CHEMISTRY, VL 56

We report design and structural characterization of six new coordination polymers fabricated from PbCl2 and a series of closely related bis-pyridyl ligands L-I and HLII-HLVI, namely, [Pb-2(L-I)Cl-4], [Pb(HLII)-Cl-2](n)center dot nMeOH, [Pb(HLIII)Cl-2](n)center dot 0.5 nMeOH, [Pb-2(L-IV)Cl-3](n), [Pb(HLV)Cl-2](n), and [Pb-3(L-VI)(2)Cl-4](n)center dot nMeOH. The topology of the obtained networks is dictated by the geometry of the organic ligand. The structure of [Pb-2(L-I)Cl-4](n) is constructed from the [PbCl2](n) two-dimensional (2D) sheets, linked through organic linkers into a three-dimensional framework, which exhibits a unique binodal 4,7-connected three-periodic topology named by us as sdal. Topological analysis of the 2D metal-organic sheet in [Pb(HLII)Cl-2](n)center dot nMeOH discloses a binodal 3,4-connected layer topology, regardless of the presence of tetrel bonds. A one-dimensional (1D) coordination polymer [Pb(HLIII)Cl-2](n)center dot 0.5 nMeOH is considered as a uninodal 2-connected chain. The overall structure of [Pb-2(L-IV)Cl-3](n) is constructed from dimeric tetranuclear [Pb-4(mu(3)-L-IV-kappa N-6:N’:N“:mu(3)-O)(2)(mu(4)-Cl)(mu(2)-Cl)(2)](3+) cationic blocks linked in a zigzag manner through bridging mu(2)-Cl- ligands, yielding a 1D polymeric chain. Topological analysis of this chain reveals a unique pentanodal 3,4,4,5,6-connected chain topology named by us as sda2. The structure of [Pb(HLV)Cl-2](n) exhibits a ID zigzaglike polymeric chain. Two chains are further linked into a 1D gridlike ribbon through the dimeric [Pb-2(mu(2)-Cl)(2)Cl-2] blocks as bridging nodes. With the bulkiest ligand HLVI, a 2D layered coordination polymer [Pb-3(L-VI)(2)Cl-4](n)center dot nMeOH is formed, which network, considering all tetrel bonds, reveals a unique heptanodal 3,3,3,3,4,5,5-connected layer topology named by us as sda3. Compounds [Pb-2(L-I)Cl-4](n), [Pb-2(L-IV)Cl-3](n), and [Pb(HLV)Cl-2] were found to be emissive in the solid state at ambient temperature. While blue emission of [Pb-2(L-I)Cl-4] is due to the ligand-centered transitions, bluish-green and white luminescence of [Pb-2(L-IV)Cl-3] and [Pb(HLV)Cl-2], respectively, was assigned to ligand-to-metal charge transfer mixed with metal-centered excited states. Molecular as well as periodic calculations were additionally applied to characterize the obtained polymers.

15. Oxidative coupling of tetraalkynyltin with aldehydes leading to alkynyl ketones

Levashov, Andrey S. Aksenov, Nicolai A. Aksenova, Inna V. Konshin, Valeriy V.

(Q 1) NEW JOURNAL OF CHEMISTRY, VL 41

The reaction of tetraalkynyltin with aldehydes was studied for the first time. The reaction was shown to proceed as a tandem process of nucleophilic addition of tin acetylide to aldehyde followed by Oppenauer-type oxidation of produced tin alcoholates, and may be used as a convenient one-pot approach to acetylenic ketones. The advantages and limitations of the proposed method are discussed.

16. Head-group effect of surfactants of cationic type in interaction with propoxylated sodium salt of polyacrylic acid in aqueous solution

Asadov, Ziyafaddin H., Nasibova, Shafiga M., Ahmadova, Gulnara A., Zubkov, Fedor I., Rahimov, Ravan A.

(Q 2) COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, VL 527

Polyacrylic acid (PAA) partially (50 mol.%) neutralized by sodium hydroxide was propoxylated by propylene oxide (PO) obtaining terpolymer (PNPAA). The conductivity and tensiometry measurements were used to study an interaction of PNPAA with ionic-liquid surfactants of cationic type-nonylethylolammonium bromides in aqueous solutions of different concentrations at 25 degrees C. From the results of these measurements, critical aggregation concentrations, critical micelle concentrations and the effective degree of counterion binding were determined. Depending on the nature of head-group of the cationic surfactant, the polyelectrolyte-surfactant interaction was studied and its impact on colloidal-chemical parameters of the polyelectrolyte/surfactant complexes was clarified. Petroleum-collecting properties of the obtained polyelectrolyte/surfactant complexes have been studied in various waters of a different mineralization degree.

17. Ugi Reaction Followed by Intramolecular Diels-Alder Reaction and Elimination of HCl: One-Pot Approach to Arene-Fused Isoindolinones

Huang, Jianjun Du, Xiaochen Van Hecke, Kristof Van der Eycken, Erik V. Pereshivko, Olga P.

Peshkov, Vsevolod A.

(Q 1) EUROPEAN JOURNAL OF ORGANIC CHEMISTRY, IS 30

A one-pot procedure involving a four-component Ugi reaction followed by an intramolecular Diels-Alder reaction/HCl elimination cascade has been developed to provide rapid access to the isoindolinone framework in a diversity-oriented fashion. The scope of the process has been investigated with respect to all four components, and a comparison between the one-pot and sequential approaches is given. The possibility of a late-stage one-pot functionalization through Suzuki coupling has been explored.

18. Sustainable, Oxidative, and Metal-Free Annulation

Bering, Luis, Manna, Srimanta, Antonchick, Andrey P.

(Q 1) CHEMISTRY-A EUROPEAN JOURNAL, VL 23

Annulation has received steadily growing interest in the interplay with the increasing emphasis towards selective C-H bond functionalization reactions. Metal-free oxidative annulation through functionalization of inert and abundant C-H bonds offers great improvements in terms of atom- and step-economics as well as reduced waste production under mild reaction conditions. Annulation is considered to be a highly efficient strategy for the construction of cyclic molecules because at least two new bonds are formed within a single reaction step. The combination of annulation and direct C-H bond functionalization allows the efficient and straightforward synthesis of carbo- and heterocyclic molecules using simple and non-prefunctionalized precursors. This Concept highlights novel strategies and recent breakthroughs for metal-free annulation through C-H bond functionalization giving access to a variety of important structural motifs.

19. Reductive amination catalyzed by iridium complexes using carbon monoxide as a reducing agent

Moskovets, Alexey P., Usanov, Dmitry L., Afanasyev, Oleg I., Fastovskiy, Vasilii A., Molotkov, Alexander P., Muratov, Karim M., Denisov, Gleb L., Zlotskii, Semen S., Smol’yakov, Alexander F., Loginov, Dmitry A., Chusov, Denis

(Q 1) ORGANIC & BIOMOLECULAR CHEMISTRY, VL 15

Development of novel, sustainable catalytic methodologies to provide access to amines represents a goal of fundamental importance. Herein we describe a systematic study for the construction of a variety of amines catalyzed by a well-defined homogeneous iridium complex using carbon monoxide as a reducing agent. The methodology was shown to be compatible with functional groups prone to reduction by hydrogen or complex hydrides.

20. First results of U/Pb dating of detrital zircons from middle Riphean sandstones of the Zigalga Formation, South Urals

Kuznetsov, N. B., Belousova, E. A., Romanyuk, T. V., Degtyarev, K. E., Maslov, A. V., Gorozhanin, V. M., Gorozhanina, E. N., Pyzhova, E. S.

(Q 2) DOKLADY EARTH SCIENCES, VL 475

The results of U/Pb dating of detrital zircons from sandstones of the Zigalga Formation, which is the base level of the Middle Yurmatu Group of the Bashkir uplift, southwestern Urals, are presented. The U/Pb ages of detrital zircons from sandstones of the Lower, Middle, and Upper Riphean are compared.

21. Adducts of N-Heterocyclic Drugs, Niacin, Allopurinol, and Amiloride, with 2,4-Pyridinedicarboxylic Acid Coformer

Bejagam, Shabari Nath Fonari, Marina S. Averkiev, Boris B. Khrustalev, Victor N. Lindline, Jennifer Timofeeva, Tatiana V.

(Q 1) CRYSTAL GROWTH & DESIGN, VL 17

A co-crystallization of three drug molecules, niacin (3-pyridine-carboxylic acid = NIA), allopurinol (pyrazolo(3,4-d)pyrimidin-4-one = ALP), and amiloride (3,5-diamino-6-chloro-pyrazine-2-carbonyl)-guanidine = AMI), with the same coformer, 2,4-pyridinedicarboxylic acid (FDA), resulted in three new crystalline products, (NIA)(PDA) (1), (ALP)(2)(PDA)center dot 1.5H(2)O (2), and (AMI)(2)(PDA)(2)(H2O)(2) (3). The formation of new phases was confirmed by IR spectra and X-ray single-crystal and powder diffraction analysis. The proton transfer resulted in the zwitterionic co-crystal 1. In co-crystal 2, neutral ALP molecules existed in the oxo-tautomeric form. Compound 3 crystallizes as the salt with the guanidinium cationic part as in the started amiloride hydrochloride hydrate, and the PDA coformer as the zwitterionic pyridinium dicarboxylate anion. Thus, the diversity of the PDA coformer ionization states included the neutral, zwitterion, and zwitterion anionic forms. All compounds were layered structures where the heterocyclic molecules were linked in the H-bonded corrugated layers stabilized by the diverse conventional and charge-assisted hydrogen bonds with pi-pi stacking interactions between the layers supported by the mediated water molecules in 2 and 3.

22. Interaction of human migration and wealth distribution

Volpert, V., Petrovskii, S., Zincenko, A.

(Q 1) NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, VL 159

Dynamics of human populations depends on various economical and social factors. Their migration is partially determined by the economical conditions and it can also influence these conditions. This work is devoted to the analysis of the interaction of human migration and wealth distribution. The model consists of a system of equations for the population density and for the wealth distribution with conventional diffusion terms and with cross diffusion terms describing human migration determined by the wealth gradient and wealth flux determined by human migration. Wealth production and consumption depend on the population density while the natality and mortality rates depend on the level of wealth. In the absence of cross diffusion terms, dynamics of solutions is described by travelling wave solutions of the corresponding reaction diffusion systems of equations. We show persistence of such solutions for sufficiently small cross diffusion coefficients. This result is based on the perturbation methods and on the spectral properties of the linearized operators. ©

23. Problems of Identificative Matrices Transformation of Modern Multicultural Persons in the Variative Discourse of Electronic Informative Society Identity

Karabulatova, Irina S., Vildanov, Khanif S., Zinchenko, Anastasiya A., Vasilishina, Elena N., Vassilenko, Anatoly P.

(Q 2) PERTANIKA JOURNAL OF SOCIAL SCIENCE AND HUMANITIES, VL 25

The relevance of the proposed research topic is that the 21st century can be called the century of the explosion of identities. National identity is seen as self-determination of individuals and groups in local community coordinates, contrary to the logic of globalisation, with its model of the world citizenship and transnational identity, played and produced in a globalised world that is projected on the sphere of international interpersonal relationships inside the society, affecting, thus, social mega-, macro- and micro levels. Thus, it is necessary to analyse and evaluate national identity in the sociological discourse. Comparison and identification of explanatory, analytical and predictive capacities of research formed the theoretical and methodological approaches to national identity in the context of globalisation processes, which characterised the isolation, distancing from other national and ethnic groups, the search for a national collective “I” and the inclusion of the identity of the resource as a “prize” in the competition for a position in a globalised world. The complexity of the national identification process is caused by the multi-dimensional criteria of identity and its impact upon political, social, cultural and symbolic capital. This research highlights the need to study the implications of information exchange and the negative aspects of the formation of personal identity.

24. Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions

Stepanov, V. D., Shambilova, G. E.

Q 2 DOKLADY MATHEMATICS, VL 96

Necessary and sufficient conditions for the weighted boundedness of a class of positive quasilinear two-kernel integral operators of iterated type on the real half-line are given.

25. On wormholes with long throats and the stability problem

Bronnikov, K. A., Korolyov, P. A.

(Q2) GRAVITATION & COSMOLOGY, VL 23

We construct explicit examples of globally regular static, spherically symmetric solutions of general relativity with a phantom scalar field as the source of gravity, describing traversable wormholes with flat asymptotic regions on both sides of the throat as well as regular black holes, in particular, those called black universes. To explain why such phantom fields are not observed under usual conditions, we invoke the concept of “invisible ghosts,” which means that the phantom field decays quickly enough at infinity and is there too weak to be observed. This approach leads to wormhole models in which the spherical radius is almost constant in some range of the radial coordinate near the throat, forming a “long throat.” We discuss the peculiar features and difficulties of the stability problem for such configurations. It is shown that the limiting case of a “maximally long throat” has the form of an unstable model with the Nariai metric. This allows us to conjecture that a long throat does not stabilize wormholes with a scalar source.

26. Alkyl chain and head-group effect of mono- and diisopropylolalkylamine-polymethacrylic acid complexes in aqueous solution

Asadov, Ziyafaddin H., Huseynova, Khuraman A., Rahimov, Ravan A., Ahmadova, Gulnara A.,Zubkov, Fedor I.

(Q 1) JOURNAL OF MOLECULAR LIQUIDS, VL 244

Effect of the alkyl chain and head-group of surfactant (monoisopropylolalkyl amines and diisopropylolalkyl amines) on its interaction with polymethacrylic acid in aqueous solution has been studied by surface tension, electrical conductivity and viscometric measurements. From the surface tension studies, the critical aggregation concentration and critical micelle concentration were determined. Depending on the nature of head-group and polymer concentration, the polymethacrylic acid-surfactant interaction and the character of variation of the colloidal-chemical parameters of the complexes were studied. Petroleum-collecting capacity of the obtained complexes has been estimated in the waters of various mineralization degrees. © 2017 Elsevier B.V. All rights reserved.

27. Synthesis of 8-substituted 1,5-diazabicyclo[3.2.1]octane derivatives via double aza-Michael addition of homopiperazine to 3-trifluoroacety1-4H-chromenes

Osipov, Dmitry V., Melnikova, Irina V., Osyanin, Vitaly A., Lukashenko, Anton V., Klimochkin, Yury N.

(Q2) JOURNAL OF FLUORINE CHEMISTRY, VL 202

The reaction of homopiperazine with 2-trifluoroacety1-1H-benzoWchromenes affords 2-(1,5-diazabicyclo[3.2.1] octan-8-y1)-3-(trifluoromethyl)-2,3-dihydro-1H-benzoWchromen-3-ols, while 3-trifluoroacetyl-4H-chromenes give 242-(1,5-diazabicyclo[3.2.1]octan-8-yflethyllphenols. Both reactions are the first examples of synthesis of 1,5-diazabicyclo[3.2.1]octane core via double Michael addition and include cascade Michael addition/pyran ring opening/Michael addition.

28. Analysis of Multi-Server Queue With Spatial Generation and Location-Dependent Service Rate of Customers as a Cell Operation Model

Dudin, Sergei, Kim, Chesoong

(Q 1) IEEE TRANSACTIONS ON COMMUNICATIONS, VL 65

A novel multi-server queue with heterogeneous customers is formulated and analyzed as the model of operation of a cell of a mobile communication network. We assume that the cell is divided into zones depending on signal quality. The type of a customer corresponds to a zone in which this customer is currently situated and the rate of the customer’s service depends on his/her type. During service, the customer may transit to another zone or terminate service (e.g., owing to poor service quality or departure from the cell). The stationary distribution of the system states and the key performance measures of the system are computed. Numerical results are presented.

29. Inhomogeneous compact extra dimensions

Bronnikov, K. A., Budaev, R. I., Grobov, A. V., Dmitriev, A. E., Rubin, Sergey G.

(Q2) JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, IS 10

We show that an inhomogeneous compact extra space possesses two necessary features — their existence does not contradict the observable value of the cosmological constant Lambda(4) in pure f^® theory, and the extra dimensions are stable relative to the “radion mode” of perturbations, the only mode considered. For a two-dimensional extra space, both analytical and numerical solutions for the metric are found, able to provide a zero or arbitrarily small Lambda(4). A no-go theorem has also been proved, that maximally symmetric compact extra spaces are inconsistent with 4D Minkowski space in the framework of pure f^® gravity.

30. Retrial queue with discipline of adaptive permanent pooling

Brugno, A., Dudin, A. N., Manzo, R.

(Q 1) APPLIED MATHEMATICAL MODELLING, VL 50

A novel customer service discipline for a single-server retrial queue is proposed and analysed. Arriving customers are accumulated in a pool of finite capacity. Customers arriving when the pool is full go into orbit and attempt to access the service later. It is assumed that customers access the service as a group. The size of the group is defined by the number of customers in the pool at the instant the service commences. All customers within a group finish receiving the service simultaneously. If the pool is full at the point the service finishes, a new service begins immediately and all customers from the pool begin to be served. Otherwise, the customer admission period starts. The duration of this period is random and depends on the number of customers in the pool when the admission period begins. However, if the pool becomes full before the admission period expires, this period is terminated and a new service begins. The system behaviour is described by a multidimensional Markov chain. The generator and the condition of ergodicity of this Markov chain are derived, and an algorithm for computing the stationary probability distribution of the states of the Markov chain is given. Formulas for computing various performance measures of the system are presented, and the results of numerical experiments show that these measures essentially depend on the capacity of the pool and the distribution of the duration of the admission period. The advantages of the proposed customer service discipline over the classical discipline and the discipline in which customers cannot enter the pool during the service period are illustrated numerically. © 2017 Elsevier Inc.

31. Racemic and enantiopure forms of 3-ethyl-3-phenylpyrrolidin-2-one adopt very different crystal structures

Krivoshein, Arcadius V., Lindeman, Sergey V., Timofeeva, Tatiana V., Khrustalev, Victor N.

(Q 2) CHIRALITY, VL 29

3-Ethyl-3-phenylpyrrolidin-2-one (EPP) is an experimental anticonvulsant based on the newly proposed -substituted amide group pharmacophore. These compounds show robust activity in animal models of drug-resistant epilepsy and are thus promising for clinical development. In order to understand pharmaceutically relevant properties of such compounds, we are conducting an extensive investigation of their structures in the solid state. In this article, we report chiral high-performance liquid chromatography (HPLC) separation, determination of absolute configuration of enantiomers, and crystal structures of EPP. Preparative resolution of EPP enantiomers by chiral HPLC was accomplished on the Chiralcel OJ stationary phase in the polar-organic mode. Using a combination of electronic CD spectroscopy and anomalous dispersion of X-rays we established that the first-eluted enantiomer corresponds to (+)-^®-EPP, while the second-eluted enantiomer corresponds to (-)-(S)-EPP. We also demonstrated that, in the crystalline state, enantiopure and racemic forms of this anticonvulsant have considerable differences in their supramolecular organization and patterns of hydrogen bonding. These stereospecific structural differences can be related to the differences in melting points and, correspondingly, solubility and bioavailability.

32. Galaxy travel via Alcubierre’s warp drive

Fil’chenkov, M., Laptev, Yu.

(Q1) ACTA ASTRONAUTICA, VL 139

The possibilities of interstellar flights for extraterrestrial civilizations have been considered. A superluminal motion (hypermotion) via M. Alcubierre’s warp drive is considered. Parameters of the warp drive have been estimated. The equations of starship geodesics have been solved. The starship velocity has been shown to exceed the speed of light, with the local velocity relative to the deformed space-time being subluminal. Hawking’s radiation does not prove to affect the ship interior considerably. Difficulties related to a practical realization of the hypermotion are indicated.

33. New fractal math tool providing simultaneous reorientation and acceleration of spacecraft

Yefremov, Alexander P.

(Q1) ACTA ASTRONAUTICA, VL 139

Quaternion based math system of spacecraft reorientation is extended by admitting imaginary rotation parameters, thus involving hyperbolic functions. For simplicity only one simple hyperbolic rotation is added as the last one in the series of orthogonal matrices. The scheme is reduced to a single rotation about instant axis, and to transformation of primitive basis on a 2D fractal space of dimension ’A. This new tool is proved to simultaneously reorient the spacecraft and to accelerate it the kinematics automatically described as relativistic. With a small speed the problem becomes a classical one.

34. Assessment of gender and age effects on serum and hair trace element levels in children with autism spectrum disorder

Skalny, Anatoly V., Simashkova, Natalia V., Skalnaya, Anastasia A., Klyushnik, Tatiana P., Bjorklund, Geir, Skalnaya, Margarita G., Tinkov, Alexey A.

(Q ) METABOLIC BRAIN DISEASE, VL 32

The primary objective of the present study was to investigate the levels of essential trace elements in hair and serum in children with autism spectrum disorder (ASD) and investigate the age and gender effects. Children with ASD were characterized by significantly higher levels of copper (Cu) (+8%), iron (Fe) (+5%), and selenium (Se) (+13%) levels in hair and only 8% higher serum Cu levels. After stratification for gender, ASD boys were characterized by significantly increased hair Cu (+ 25%), Fe (+ 25%), and Se (+ 9%) levels, whereas in girls only Se content was elevated (+ 15%). Boys and girls suffering from ASD were characterized by significantly higher serum manganese (Mn) (+20%) and Cu (+18%) as compared to the control values, respectively. In the group of younger children (2-5 years), no significant group difference in hair trace element levels was detected, whereas serum Cu levels were significantly higher (+7%). In turn, the serum concentration of Se in ASD children was 11% lower than that in neurotypical children. In the group of older children with ASD (6-10 years), hair Fe and Se levels were 21% and 16% higher, whereas in serum only Cu levels were increased (+12%) as compared to the controls. Correlation analysis also revealed a different relationship between serum and hair trace element levels with respect to gender and age. Therefore, it is highly recommended to assess several bioindicative matrices for critical evaluation of trace element status in patients with ASD in order to develop adequate personalized nutritional correction.

35. General Method for the Synthesis of 1,4-Disubstituted 5-Halo-1,2,3-triazoles

Gribanov, Pavel S., Topchiy, Maxim A., Karsakova, Iuliia V., Chesnokov, Gleb A., Smirnov, Alexander Yu., Minaeva, Lidiya I., Asachenko, Andrey F., Nechaev, Mikhail S.

(Q 1) EUROPEAN JOURNAL OF ORGANIC CHEMISTRY, IS 35

A general method for the synthesis of 1,4-disubstituted 5-halo-1,2,3-triazoles has been developed. The one-pot two-step process consists of a CuAAC reaction of a copper(I) acetylide with an organic azide catalyzed by (aNHC) CuCl, followed by halogenation with N-chlorosuccinimide, N-bromosuccinimide, or I-2.

36. Scattering matrices and Dirichlet-to-Neumann maps

Behrndt, Jussi Malamud, Mark M. Neidhardt, Hagen

(Q 1) JOURNAL OF FUNCTIONAL ANALYSIS, VL 273

A general representation formula for the scattering matrix of a scattering system consisting of two self-adjoint operators in terms of an abstract operator valued Titchmarsh-Weyl m-function is proved. This result is applied to scattering problems for different self-adjoint realizations of Schrodinger operators on unbounded domains, Schrodinger operators with singular potentials supported on hypersurfaces, and orthogonal couplings of Schrodinger operators. In these applications the scattering matrix is expressed in an explicit form with the help of Dirichlet-to-Neumann maps. © 2017 The Author(s). Published by Elsevier Inc.

37. Copper-mediated synthesis of coumestans via C(sp(2))-H functionalization: Protective group free route to coumestrol and 4 ’-O-methylcoumestrol

Naik, Mayuri M. Kamat, Vijayendra P. Tilve, Santosh G.

(Q 2) TETRAHEDRON, VL 73

A simple and efficient two step synthesis of coumestans is described. The key reaction in the synthesis is the use of easily available Cu(OAc)(2) for C-H functionalization of 3-(2-hydroxyphenyl)coumarin to give coumestan ring system via formal oxidative cyclization. This approach provided a short protective group free route to naturally occurring coumestrol and 4’-O-methylcoumestrol.

38. Room-temperature synthesis of pharmaceutically important carboxylic acids bearing the 1,2,4-oxadiazole moiety

Tarasenko, Marina Duderin, Nikolay Sharonova, Tatyana Baykov, Sergey Shetnev, Anton Smirnov, Alexey V.

(Q 2) TETRAHEDRON LETTERS, VL 58

An efficient and mild one-pot protocol has been developed for the synthesis of 1,2,4-oxadiazoles via the reaction of amidoximes with dicarboxylic acid anhydrides in a NaOH/DMSO medium. The method allows the synthesis of diversely substituted carboxylic acids bearing the 1,2,4-oxadiazole motif, — a popular building block for pharmaceutical research, in moderate to excellent yields. The reaction scope includes aromatic and heteroaromatic amidoximes as well as five-, six- and seven-membered anhydrides. The advantages of this procedure are proven gram-scalability and the use of inexpensive starting materials, which from a process chemistry point of view are essential for future industrial applications.

39. Copper(II) coordination polymers of arylhydrazone of 1H-indene-1,3(2H)-dione linked by 4,4 ’-bipyridineor hexamethylenetetramine: Evaluation of catalytic activity in Henry reaction

Tiago, Goncalo A. O., Mahmudov, Kamran T., Guedes da Silva, M. Fatima C., Ribeiro, Ana P. C., Huseynov, Fatali E., Branco, Luis C., Pombeiro, Armando J. L.

(Q 2) POLYHEDRON, VL 133

The 1D and the 2D copper(II) coordination polymers [{Cu(kappa N,OO’-L)}(2)(mu-1 kappa N:2-kappa N’-bpy)(2)](n) (1) and [(Cu (mu-1-kappa N,OO’:2 kappa O"-L)}(2)(mu-1-kappa N:2 kappa N’-hmt)(n) (2), respectively, were synthesized from copper(II) nitrate and sodium 2-(2-(1,3-dioxo-1H-inden-2(3H)-ylidene) hydrazinyl)benzenesulfonate (NaHL), in the presence of 4,4’-bipyridine (4,4’-bpy) (for 1) or hexamethylenetetramine (hmt) (for 2). 1 and 2 are water soluble and are characterized by elemental analysis, IR spectroscopy, ESI-MS and single crystal X-ray diffraction. Depending on the neutral linkers, the dianionic ligand L2- displays tri-(in 1) or tetradentate (in 2) binding modes. The Cu2+ in I adopts a distorted N3O2 square-pyramid coordination environment, while in 2 it displays a distorted N2O3 trigonal bipyramid geometry. The catalytic activity of 1 and 2 was evaluated in the diastereoselective Henry reaction of nitroethane with a variety of aromatic and aliphatic aldehydes, in water and in organic solvents. B-Hydroxy nitroalkanes were obtained in high yields (up to 92%), and moderate-to-good syn/anti diastereoselectivities (up to 79:21), in water at room temperature.

40. Coincidence points of multivalued mappings in (q (1), q (2))-quasimetric spaces

Arutyunov, A. V., Greshnov, A. V.

(Q 2) DOKLADY MATHEMATICS, VL 96

The properties of (q (1), q (2))-quasimetric spaces are examined. Multivalued covering mappings between (q (1), q (2))-quasimetric spaces are investigated. Given two multivalued mappings between (q (1), q (2))-quasimetric spaces such that one of them is covering and the other satisfies the Lipschitz condition, sufficient conditions for these mappings to have a coincidence point are obtained. A theorem on the stability of coincidence points with respect to small perturbations in the considered mappings is proved.

41. Computation of the moments of queue length in the BMAP/SM/1 queue

Klimenok, V., Dudin, A. N., Samouylov, K.

(Q 1) OPERATIONS RESEARCH LETTERS, VL 45

The BMAP/SM/1 queue is the most general single-server queueing model which can be analysed analytically. Problem of computation of stationary distributions of queue length is solved in the literature. However, the problem of computation of the moments of these distributions is not enough addressed. This problem is more complicated than its particular case when the service times are independent identically distributed random variables due to reducibility of some involved matrices. In this communication, we solve this problem. © 2017 Elsevier B.V. All rights reserved.

42. Subvolcanic Gabbro-Porphyrite and Intrusive Diorite, and Sulfide Mineralization of the Dzhusa Volcanogenic Massive Sulfide Deposit (Southern Urals)

Yartsev, E. I., Eremin, N. I., Vikentyev, I. V.

(Q 2) DOKLADY EARTH SCIENCES, VL 476

Two sequentially formed groups of dikes in the gabbro-porphyrite complex have been distinguished, the ages of which are early Eifelian (early dikes) and early Givetian (late dikes). We have estimated the temperature impact of ore contact metamorphism, which is related to dikes of the Lower Carboniferous Magnitogorsk intrusive complex. A hidden zonality of microimpurities in the ore-forming minerals has been established for the first time by the LA-ICP-MS method. The ore formation age has been determined as early Eifelian-early Givetian.

43. High-Throughput Analysis of TUNEL-Stained Sperm Using Image Cytometry

Arifulin, E. A., Bragina, E. E., Kurilo, L. F., Sheval, E. V.

(Q 1) CYTOMETRY PART A, VL 91

Sperm DNA integrity is an essential factor for successful fertilization and proper pregnancy progression. The terminal deoxynucleotidyl transferase dUTP nick end-labeling (TUNEL) assay is commonly used for the estimation of the DNA fragmentation index. Analysis of TUNEL-stained sperm is often performed by flow cytometry, an approach that allows high-throughput analysis but in which any morphological information is lost. In this study, results of an automated image cytometry estimation of TUNEL-stained sperms were presented. The results of visual counting and automatic analysis were closely correlated, indicating that image cytometry is suitable for such analysis and may be applied in a clinical setting.

44. FEEDBACK DESIGN OF DIFFERENTIAL EQUATIONS OF RECONSTRUCTION FOR SECOND-ORDER DISTRIBUTED PARAMETER SYSTEMS

Maksimov, Vyacheslav I., Mordukhovich, Boris S.

(Q 1) INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, VL 27

The paper aims at studying a class of second-order partial differential equations subject to uncertainty involving unknown inputs for which no probabilistic information is available. Developing an approach of feedback control with a model, we derive an efficient reconstruction procedure and thereby design differential equations of reconstruction. A characteristic feature of the obtained equations is that their inputs formed by the feedback control principle constructively approximate unknown inputs of the given second- order distributed parameter system.

45. Novel synthesis method for photo-catalytic system based on some 3d-metal titanates

Absalan, Yahya Bratchikova, Irena G., Lobanov, Nikolai N., Kovalchukova, Olga V.

(Q 2) JOURNAL OF MATERIALS SCIENCE-MATERIALS IN ELECTRONICS, VL 28

In this paper, we studied titanium (TiO2) nanoparticle in three different structures (Anatase, Rutile, and Degussa) and then they were synthesized by the sol-gel method which is used butanol, toluene, and triethylene glycol as solvent at different temperatures and times. Then in this case to modify the TiO2, doping was done by transition metals and CdTiO3, CrTiO3, NiTiO3, MnTiO3, FeTiO3, and CoTiO3 were synthesized. The pure MTiO3 (M = Cd, Cr, Ni, Mn, Fe and Co) nanoparticles were formed when the precursor was heat-treated at 750 A degrees C for 210 min. Characterizing the new additions was conducted by X-ray diffraction, FT-IR spectroscopy, UV-Vis spectroscopy, Scanning electron microscopy (SEM) image and N-2 absorption-desorption. The BET analysis was performed to calculate the specific surface area. Pore diameter, pore volume, and the percentage of mesoporous MTiO3 were obtained by the BJH method according to the reaction. Titanium(IV) butoxide as a precursor was reacted with the metals and the energy band gap based on the metals decreased markedly and differently. To show the existing bond of titanium and metals, FT-IR and SEM image were used to investigate the obtained addition and investigating better their morphology respectively. To evaluate the photocatalytic properties of the nanocrystalline TiO2 (Degussa P-25) and MTiO3, the photocatalytic degradation of salicylic acid as a chemical toxic compound under ultraviolet light irradiation was carried out.

46. Partial regularity for minimizers of a class of non autonomous functionals with nonstandard growth

Giannetti, Flavia di Napoli, Antonia Passarelli Ragusa, Maria Alessandra Tachikawa, Atsushi

(Q 1) CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, VL 56

We study the regularity of the local minimizers of non autonomous integral functionals of the type integral(Omega) phi(p(x)) ((A(ij)(alpha beta)(x, u) D(i)u(alpha) D(i)u(beta))(1/2))dx,

where phi is an Orlicz function satisfying both the Delta(2) and the del(2) conditions, p(x) : Omega subset of R-n -> (1, + infinity) is continuous and the function A(x, s) = (A(ij)(alpha beta) (x, s)) is uniformly continuous. More precisely, under suitable assumptions on the functions F and p(x), we prove the Holder continuity of the minimizers. Moreover, assuming in addition that the function A(x, s) = (A(ij)(alpha beta) (x, s)) is Holder continuous, we prove the partial Holder continuity of the gradient of the local minimizers too.

47. Quasilinear elliptic equations on noncompact Riemannian manifolds

Barletta, Giuseppina Cianchi, Andrea Maz’ya, Vladimir

(Q 1) JOURNAL OF FUNCTIONAL ANALYSIS, VL 273

The existence of solutions to a class of quasilinear elliptic problems on noncompact Riemannian manifolds, with finite volume, is investigated. Boundary value problems, with homogeneous Neumann conditions, in possibly irregular Euclidean domains are included as a special instance. A nontrivial solution is shown to exist under an unconventional growth condition on the right-hand side, which depends on the geometry of the underlying manifold. The identification of the critical growth is a crucial step in our analysis, and entails the use of the isocapacitary function of the manifold. A condition involving its isoperimetric function is also provided.

48. Solvent-driven azide-induced mononuclear discrete versus one-dimensional polymeric aromatic Mobius cadmium(II) complexes of an N-6 tetradentate helical ligand

Afkhami, Farhad Akbari Mahmoudi, Ghodrat Gurbanov, Atash V. Qu, Fengrui Gupta, Arunava

Safin, Damir A.

(Q 1) DALTON TRANSACTIONS, VL 46

We report the synthesis and structural characterization of a heteroleptic mononuclear discrete complex [Cd(N-3)(2)(L)(MeOH)]center dot MeOH (1 center dot MeOH) and a one-dimensional coordination polymer of the composition [Cd-3(N-3)(6)(L)](n) (2), fabricated from Cd(NO3)(2)center dot 4H(2)O and the helical organic ligand benzilbis((pyridin-2-yl) methylidenehydrazone) (L) in the presence of two equivalents of NaN3. The formation of d