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

Autor: Kim, Minhyun, Lee, Ki-Ahm, Lee, Se-Chan
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: The title has been changed. Some more details have been added. 39 pages
Databáze: arXiv