Seminar “Existence of a solution to a nonlinear elliptic equation with boundary conditions of the Bitsadze-Samarskii type”

30 March at 19:30 MSK

Title of the talk:  Existence of a solution to a nonlinear elliptic equation with boundary conditions of the Bitsadze-Samarskii type.

The solvability of the nonlinear nonlocal problem, which is a generalization of the Bitsadze-Samarskii type problem, is considered. Theorems on sufficient conditions for the existence of a solution are formulated. In particular, we consider a non-local boundary value problem with a p-Laplacian. The examples show that, in contrast to the linear case, under "good" non-local boundary conditions, for p>2, the problem can have one or more solutions. The research is based on the theory of linear nonlocal problems and the theory of pseudo-monotonic operators.

Online

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