Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball

被引：3
作者：
Gao, Zhenghuan [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2024年 / 242卷
基金：
中国国家自然科学基金;
关键词：
Uniqueness; Radial solution; (mk)-Hessian equation; POSITIVE RADIAL SOLUTIONS; NONNEGATIVE SOLUTIONS; SEMILINEAR EQUATIONS; GROUND-STATES; EXISTENCE;
D O I：
10.1016/j.na.2024.113495
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the uniqueness of negative radial solution to a Dirichlet problem of (m,k)-Hessian equation in a finite ball of Ill R-n for 1< k <(n)(m). Our proof is based on a Pohozaev identity and the monotone separation techniques.
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页数：13
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