The Wiener criterion for nonlocal Dirichlet problems
Analysis of PDEs
2023-02-01 v1
Abstract
We study the boundary behavior of solutions to the Dirichlet problems for integro-differential operators with order of differentiability and summability . We establish a nonlocal counterpart of the Wiener criterion, which characterizes a regular boundary point in terms of the nonlocal nonlinear potential theory.
Cite
@article{arxiv.2203.16815,
title = {The Wiener criterion for nonlocal Dirichlet problems},
author = {Minhyun Kim and Ki-Ahm Lee and Se-Chan Lee},
journal= {arXiv preprint arXiv:2203.16815},
year = {2023}
}
Comments
39 pages