Existence Result for a Class of Nonlinear Elliptic Systems on Punctured Unbounded Domains

被引：1

作者：

Colin, Fabrice ^{[1
]}

机构：

[1] Laurentian Univ, Sudbury, ON P3E 2C6, Canada

来源：

BOUNDARY VALUE PROBLEMS | 2010年

基金：

加拿大自然科学与工程研究理事会;

关键词：

CRITICAL GROWTH; EQUATIONS;

D O I：

10.1155/2010/175409

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of a nontrivial solution for systems with an arbitrary number of coupled Poisson equations with critical growth in punctured unbounded domains. The proof depends on a generalized linking theorem due to Krysewski and Szulkin, and on a concentration-compactness argument, proved by Frigon and the author. Applications to reaction-diffusion systems with skew gradient structure are also discussed in the last section.

引用

页数：15

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