Discrete Schrodinger equations with sign-changing nonlinearities: Infinitely many homo clinic solutions

被引：18

作者：

Jia, Liqian ^{[1
]}

Chen, Guanwei ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 452卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Discrete nonlinear Schrodinger equations; Superlinear; Homoclinic solutions; Variational methods; GAP SOLITONS; HOMOCLINIC SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2017.03.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain infinitely many homoclinic solutions for a class of discrete nonlinear Schrodinger equations, where nonlinearities are superlinear at infinity and primitive functions of nonlinearities are allowed to be sign-changing. By using some weaker conditions, our results extend and improve some existed results in the literature. Besides, some examples are given to illuminate our results. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：568 / 577

页数：10

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