Wolff potential estimates and Wiener criterion for nonlocal equations with nonstandard growth
M Kim, KA Lee, SC Lee - arXiv preprint arXiv:2312.16411, 2023 - arxiv.org
M Kim, KA Lee, SC Lee
arXiv preprint arXiv:2312.16411, 2023•arxiv.orgWe 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.
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.
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.
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