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

Abstract

We prove the Wolff potential estimates for nonlocal equations with Orlicz 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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References in corpus (4)

• Nonlocal equations with measure data
• Regularity for nonlocal problems with non-standard growth
• The Wiener criterion for nonlocal Dirichlet problems
• Boundary estimates and a Wiener criterion for the fractional Laplacian