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.
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页数：11
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