Multiple solutions for a class of sublinear Schrodinger equations

被引：31
|
作者：
Zhang, Qingye [1 ]
Wang, Qi [2 ,3 ]
机构：
[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R China
[2] Henan Univ, Sch Math & Informat Sci, Kaifeng 475000, Peoples R China
[3] Henan Univ, Inst Contemporary Math, Kaifeng 475000, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 389卷 / 01期
关键词：
Schrodinger equation; Sublinear; Variational method; SCALAR FIELD-EQUATIONS; EXISTENCE; R(N); RN;
D O I：
10.1016/j.jmaa.2011.12.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of infinitely many nontrivial solutions for a class of sublinear Schrodinger equations -Delta u + V (x)u = f (x, u), where f (x, u) = mu xi(x)vertical bar u vertical bar(mu-2)u with 1 < mu < 2 and xi : R-N -> R being a positive continuous function. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：511 / 518
页数：8
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