Classification of solutions to some elliptic equations with Robin boundary condition and finite Morse index

被引：0

作者：

Rebhi, Salem ^{[1
]}

Ghabi, Khouloud ^{[1
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Campus Univ, Tunis 2092, Tunisia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 542卷 / 02期

关键词：

Liouville type theorems; Stable solutions; Morse index; Robin boundary condition;

D O I：

10.1016/j.jmaa.2024.128790

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal here with the non-existence of weak finite Morse index solutions to the following nonlinear elliptic equation -Delta u=(1+|x|(alpha))|u|(p-1)u in R-N, or in half space with Robin boundary condition, where N >= 2, alpha > -2 and p >1. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：15

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