Serrin-Type Overdetermined Problem in Hn

被引：1
作者：
Gao, Zhenghuan [1 ]
Jia, Xiaohan [2 ]
Yan, Jin [3 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[3] Univ Sci & Technol China, Sch Math Sci, Hefei 230025, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 36卷 / 01期
基金：
美国国家科学基金会;
关键词：
Overdetermined problems; hyperbolic space; P functions; Rellich-Pohozaev identity; BOUNDARY; SYMMETRY; SPACE; SOLVABILITY; CURVATURE;
D O I：
10.4208/jpde.v36.n1.7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the symmetry of the solution to overdetermined problem for the equation Sigma k(D2u-uI) =Cnin hyperbolic space. Our approach is based on establishing a Rellich-Pohozaev type identity and using a P function. Our result generalizes the overdetermined problem for Hessian equation in Euclidean space.
引用
收藏
页码：102 / 118
页数：17
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