Existence of solutions for a class of nonlinear Schrodinger equations with potential vanishing at infinity

被引：143

作者：

Alves, Claudianor O. ^{[1
]}

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

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 04期

关键词：

Superlinear problem; Positive solution; Variational methods;

D O I：

10.1016/j.jde.2012.11.013

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 ground state solution for the following class of elliptic equations -Delta u + V(x)u = K (x) f (u) in R-N, where N >= 3, V, K are nonnegative continuous functions and f is a continuous function with a quasicritical growth. Here, we prove a Hardy-type inequality and use it together with variational method to get a ground state solution. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1977 / 1991

页数：15

共 14 条

[1] Existence of solution for two classes of elliptic problems in RN with zero mass [J].