Orlicz-Sobolev空间分数阶拉普拉斯算子解的Hopf引理和边界行为

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-08-20 DOI:10.1016/j.na.2025.113923

Pablo Ochoa , Ariel Salort

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引用次数: 0

摘要

本文在一类非局部、非线性和非标准生长算子的背景下，研究了著名的Hopf边界引理的不同推广。更确切地说，我们研究了分数阶a-拉普拉斯算子在满足内球条件的区域边界附近的解的行为。我们的方法解决了涉及常符号和变符号势的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hopf’s lemmas and boundary behavior of solutions to the fractional Laplacian in Orlicz-Sobolev spaces

In this article we study different extensions of the celebrated Hopf’s boundary lemma within the context of a family of nonlocal, nonlinear and nonstandard growth operators. More precisely, we examine the behavior of solutions of the fractional

a

-Laplacian operator near the boundary of a domain satisfying the interior ball condition. Our approach addresses problems involving both constant-sign and sign-changing potentials.

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.