Seminar on nonlinear problems of PDE and mathematical physics

Speaker:  A.A. Kon’kov( Lomonosov Moscow State University)

Title of the talk: On removable singularities of solutions of higher order differential inequalities.

ABSTRACT. The problem of removability of an isolated singularity for solutions of differential inequalities has traditionally attracted the attention of mathematicians. A wide literature is devoted to this issue. In so doing, most studies deal with second-order differential operators. We obtain conditions for removability of a singularity for higher order differential inequalities with a nonlinearity of the general form. For second-order differential inequalities, our results are in good agreement with classical results of Gidas and Spruck, H.Brezis, and L.Veron. ( joint results with A.E.Shishkov).