Homoclinic solutions in non-periodic discrete φ-Laplacian equations with mixed nonlinearities

被引：25

作者：

Lin, Genghong

Zhou, Zhan ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 64卷

基金：

中国国家自然科学基金;

关键词：

Homoclinic solution; Discrete phi-Laplacian; Mixed nonlinearity; Critical point theory; Non-periodic; SCHRODINGER; BREATHERS; EXISTENCE; LATTICES;

D O I：

10.1016/j.aml.2016.08.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using critical point theory, we obtain some sufficient conditions on the existence of homoclinic solutions of a class of non-periodic discrete phi-Laplacian equations. In our paper, the nonlinearities can be mixed super p-linear with asymptotically p-linear at infinity for p >= 1, and be mixed superlinear with asymptotically linear at 0. To the best of our knowledge, there is no such result for the existence of homoclinic solutions in non-periodic discrete phi-Laplacian equations before. Some results in the literature are improved. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：15 / 20

页数：6

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