具有梯度非线性的非局部Liouville定理

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-04-17 DOI:10.1016/j.jfa.2025.111008

Anup Biswas , Alexander Quaas , Erwin Topp

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引用次数: 0

摘要

本文考虑了一类涉及梯度非线性的非线性非局部方程，并提供了一种基于Ishii-Lions型技术的统一方法来建立解的Liouville性质。我们还回答了Cirant和Goffi b[24]提出的一个公开问题。本文还研究了正则性问题的一些应用。

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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Nonlocal Liouville theorems with gradient nonlinearity

In this article we consider a large family of nonlinear nonlocal equations involving gradient nonlinearity and provide a unified approach, based on the Ishii-Lions type technique, to establish Liouville properties of the solutions. We also answer an open problem raised by Cirant and Goffi [24]. Some applications to regularity issues are also studied.

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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