On a class of semilinear Schrodinger equations with indefinite linear part

被引：12

作者：

Zhang, Hui ^{[1
]}

Xu, Junxiang ^{[2
]}

Zhang, Fubao ^{[2
]}

机构：

[1] Jinling Inst Technol, Dept Math, Nanjing 211169, Jiangsu, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 414卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Strongly indefinite functional; Nonlinear Schrodinger equation; Generalized Nehari manifold; Ground state solution; BOUND-STATES; NONTRIVIAL SOLUTION; GROUND-STATES; EXISTENCE;

D O I：

10.1016/j.jmaa.2014.01.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the existence of ground state solutions for Schrodinger equation -Delta u + V(x)u = K(x)vertical bar u vertical bar(2*-2)u + f (x, u), u is an element of H-1 (R-N), where N >= 4, V is periodic in x and 0 lies in a spectral gap of -Delta + V, K and f are asymptotically periodic in x. (c) 2014 Elsevier Inc. All rights reserved.

引用

页码：710 / 724

页数：15

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