MULTIPLE SOLUTIONS FOR A ELLIPTIC SYSTEM IN EXTERIOR DOMAIN

被引：0

作者：

Gu, Huijuan ^{[1
]}

Yang, Jianfu ^{[1
]}

Yu, Xiaohui ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China

[2] Cent Univ Finance & Econ, China Inst Adv Study, Beijing 100081, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

Exterior domain; nonlinear elliptic system; existence result;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of solutions for the nonlinear elliptic system -Delta u + u = vertical bar u vertical bar(p-1)u + lambda v in Omega, -Delta v + v = vertical bar v vertical bar(p-1)v + lambda u in Omega, u - v - 0 on partial derivative Omega, where Omega is a exterior domain in R-N, N >= 3. We show that the system possesses at least one nontrivial positive solution.

引用

页数：11

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