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Minhyun Kim: Wiener criterion for nonlocal Dirichlet problems

Tid: To 2022-12-08 kl 14.00 - 15.00

Plats: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Videolänk: Meeting ID: 921 756 1880

Medverkande: Minhyun Kim - Bielefeld University

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Abstract:

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.