Symmetry results for overdetermined boundary value problems of nonlinear elliptic equations

被引：1
|
作者：
Liu, Genqian [1 ]
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 11期
基金：
美国国家科学基金会;
关键词：
Nonlinear equation; Overdetermined problem; Radial symmetry; ANALYTICITY; THEOREMS; SYSTEMS;
D O I：
10.1016/j.na.2010.01.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the radial symmetry of the solutions of second-order nonlinear elliptic equations for overdetermined Dirichlet and Neumann boundary value problems. In addition, a global uniqueness theorem of Holmgren type is given for nonlinear elliptic equations. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：3943 / 3952
页数：10
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