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

被引：30

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.

引用

页码：834 / 840

页数：7

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