Multiplicity solutions of an elliptic system in exterior domain with rich topology

被引：1

作者：

Yu, Xiaohui ^{[1
]}

机构：

[1] Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 363卷 / 02期

关键词：

Exterior domain; Nonlinear elliptic system; Multiplicity solutions; Rich topology; CONCENTRATION-COMPACTNESS PRINCIPLE; SCALAR FIELD-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; CALCULUS;

D O I：

10.1016/j.jmaa.2009.10.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the multiplicity solutions for the nonlinear elliptic system {-Delta u + lambda u = |u|(p-1)u + lambda mu v in Omega, -Delta v + lambda v = |v|(p-1)v + lambda mu u in Omega, u = v = 0 on partial derivative Omega, where Omega is an exterior domain in R(N), N >= 3. We will show that under some assumptions, the system has at least 3 cat ((Omega) over bar)[(Omega) over bar, R(N)\B((rho) over bar) (0)] solutions. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：718 / 728

页数：11

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