Seminar “The Dirichlet problem for a quasilinear elliptic equation with a measure-valued potential”
13 September at 18:00 MSK
Title of the talk: On the existence of very singular and uniqueness of large solutions to semilinear elliptic equations
The current state of the art in the study of two popular classes of nonnegative singular solutions of semi-linear elliptic equations of the structure of stationary diffusion-nonlinear absorption. In the case of an absorption function degenerating at the boundary of the domain under consideration, exact conditions are established for the nature of this degeneracy, which guarantee the existence (nonexistence) of a super-singular (i.e., having a point strong singularity on the boundary of the domain) solution, as well as the uniqueness of a large (i.e., turning to infinity on the entire boundary of the domain) solution.
Professor A.Shishkov (Nikol’skii Mathematical Institute of RUDN, Moscow).