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.

引用

页码：3943 / 3952

页数：10

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