Multiplicity of solutions for a class of semilinear Schrodinger equations with sign-changing potential

被引：29
|
作者：
Zhang, Qingye [1 ]
Xu, Bin [2 ]
机构：
[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R China
[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 377卷 / 02期
关键词：
Schrodinger equation; Superquadratic; Sign-changing potential; SCALAR FIELD-EQUATIONS; EXISTENCE; R(N);
D O I：
10.1016/j.jmaa.2010.11.059
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 semilinear Schrodinger equations -Delta u + V(x)u = f (x, u), x epsilon R-N, where the primitive of the nonlinearity f is of superquadratic growth near infinity in u and the potential V is allowed to be sign-changing. (c) 2010 Elsevier Inc. All rights reserved.
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页码：834 / 840
页数：7
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