Existence of solutions for a class of elliptic equations in RN with vanishing potentials

被引：51

作者：

Alves, Claudianor O. ^{[1
]}

Souto, Marco A. S. ^{[1
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat Estatist, BR-58429900 Campina Grande, PB, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 10期

基金：

巴西圣保罗研究基金会;

关键词：

Superlinear problem; Positive solution; Variational methods; NONLINEAR SCHRODINGER-EQUATIONS;

D O I：

10.1016/j.jde.2012.01.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate the existence of positive solution for the following class of elliptic equation -Delta u + V(x)u = f (u) in R-N, where f has a subcritical growth and V is a nonnegative potential, which can vanish at infinity, that is, V(x) -> 0 as vertical bar x vertical bar -> infinity, or shortly, V(infinity)= 0. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：5555 / 5568

页数：14

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