Nonnegative solutions for nonlinear elliptic systems

被引：5

作者：

Peng, Chaoquan

Yang, Jianfu ^{[1
]}

机构：

[1] Jiangxi Normal Univ, Dept Math, Jiangxi 330027, Peoples R China

[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

[3] Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 01期

基金：

中国国家自然科学基金;

关键词：

existence; nonnegative solution; elliptic system;

D O I：

10.1016/j.jmaa.2006.08.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that the semilinear elliptic systems of the form [GRAPHICS] possess at least one nonnegative nontrivial solution pair (u, v) epsilon H-0(1) (Omega) x H-0(1) (Omega), where Omega is a smooth bounded domain in R-N. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：633 / 653

页数：21

共 9 条

[1] Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems [J].