Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains

被引：7

作者：

Hu, Kai ^{[1
,2
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 251卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Elliptic equation; Positive solution; Exterior domain; Lack of compactness; Reduction method; Linking; CONCENTRATION-COMPACTNESS PRINCIPLE; NONLINEAR SCHRODINGER-EQUATIONS; DIRICHLET PROBLEMS; STATES; CALCULUS;

D O I：

10.1016/j.jde.2011.05.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the existence and the multiplicity of positive solutions for the semilinear elliptic equation -Delta u + u = Q(x)vertical bar u vertical bar(p-2)u in exterior domain which is very close to R-N. The potential Q(x) tends to positive constant at infinity and may change sign. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：609 / 629

页数：21

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