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.
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页数：15
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