Homoclinic solutions of discrete prescribed mean curvature equations with mixed nonlinearities

被引：21

作者：

Mei, Peng

Zhou, Zhan ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 130卷

基金：

中国国家自然科学基金;

关键词：

Homoclinic solution; Prescribed mean curvature; Critical point theory; Mixed nonlinearities; POSITIVE SOLUTIONS; GAP SOLITONS; EXISTENCE; LAPLACIAN;

D O I：

10.1016/j.aml.2022.108006

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 new sufficient conditions for the existence of homoclinic solutions of discrete prescribed mean curvature equations with mixed nonlinearities for the unbounded potentials. To the best of our knowledge, there are no results on the existence of infinitely many homoclinic solutions to difference equations with mixed nonlinearities in the existing literature. (c) 2022 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页数：7

共 25 条

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