Wiener criterion for nonlocal Dirichlet problems
Geometric Aspects of Nonlinear Partial Differential Equations
08 December 14:00 - 15:00
Minhyun Kim - Bielefeld University
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.
KTH Royal Institute of Technology
University of Turin