A Liouville theorem for the Lane-Emden system in the half-space

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-06-18 DOI:10.1016/j.jfa.2025.111107

Yimei Li , Philippe Souplet

引用次数: 0

Abstract

We prove that the Dirichlet problem for the Lane-Emden system in a half-space has no positive classical solution that is bounded on finite strips. Such a nonexistence result was previously available only for bounded solutions or under a restriction on the powers in the nonlinearities.

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半空间中Lane-Emden系统的Liouville定理

证明了半空间中Lane-Emden系统的Dirichlet问题不存在有限条上有界的正经典解。这种不存在性的结果以前只适用于有界解或在非线性的幂限制下。

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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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