Wiener criterion for nonlocal Dirichlet problems

Date: 2022-12-08

Time: 14:00 - 15:00

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Minhyun Kim


In this talk, we study the boundary behavior of solutions to the Dirichlet problems for nonlocal nonlinear operators. We establish a nonlocal counterpart of the Wiener criterion, which characterizes a regular boundary point in terms of the nonlocal nonlinear potential theory. This talk is based on a joint work with Ki-Ahm Lee and Se-Chan Lee.