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.

引用

页码：745 / 761

页数：17

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