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

被引：138
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.
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页码：1977 / 1991
页数：15
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