具有奥利兹增长的非局部方程的沃尔夫势估计和维纳准则

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2024-09-18 DOI:10.1016/j.jfa.2024.110690

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

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引用次数: 0

摘要

我们证明了具有奥立兹增长的非局部方程的沃尔夫势估计。作为应用，我们在此框架下获得了维纳准则，它为边界点的规则性提供了必要且充分的条件。我们的方法依赖于根据非局部非线性势理论对超谐函数进行精细分析。

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

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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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis