Weak/stable solutions to p-Kirchhoff equation: Only-zero or non-existence

被引：0
作者：
Li, Weiyang [1 ,2 ]
Sun, Yuhua [1 ,2 ]
Xiao, Jie [3 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Mem Univ, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2024年 / 65卷 / 09期
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
LIOUVILLE-TYPE THEOREMS; SEMILINEAR ELLIPTIC-EQUATIONS; MORSE INDEX SOLUTIONS; STABLE-SOLUTIONS; POSITIVE SOLUTIONS; DELTA-U; CLASSIFICATION; BEHAVIOR; E(U);
D O I：
10.1063/5.0215319
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper figures out some natural conditions for a weak/stable solution of the p-Kirchhoff equation -a+b & Vert;del u & Vert;(p)(p)Delta(p)u(x)=f(alpha)(|x|)g(u(x)), x is an element of R-N, to be either only-zero or non-existent.
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页数：19
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