Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains

被引：20
|
作者：
Dancer, EN [1 ]
Zhang, KW
机构：
[1] Univ Sydney, Dept Math, Sydney, NSW 2006, Australia
[2] Macquarie Univ, Dept Math, Sydney, NSW 2109, Australia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 41卷 / 5-6期
基金：
澳大利亚研究理事会;
关键词：
nearly star-shaped; nonlinear elliptic equation;
D O I：
10.1016/S0362-546X(98)00307-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study explores the stability of the uniqueness of the trivial solutions when a star-shaped domain is perturbed. For a general variational integral, the uniqueness result is obtained by establishing a Pohozaev identity. In the case of star-shaped domains, a simple vector field is used in the Pohozaev identity.
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页码：745 / 761
页数：17
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