Wolff potential estimates and Wiener criterion for nonlocal equations with nonstandard growth

Minhyun Kim, Ki-Ahm Lee, Se-Chan Lee

Published 2023-12-27Version 1

We prove the Wolff potential estimates for nonlocal equations with nonstandard growth. As an application, we obtain the Wiener criterion in this framework, which provides a necessary and sufficient condition for boundary points to be regular. Our approach relies on the fine analysis of superharmonic functions in view of nonlocal nonlinear potential theory.