Multiple solutions of discrete Schrödinger equations with growing potentials

Advances in Difference Equations

Liqian Jia¹  Guanwei Chen¹ 

[1] School of Mathematical Sciences, University of Jinan, Jinan, P.R. China

关键词: discrete nonlinear Schrödinger equations;    variational methods;    superlinear;    homoclinic solutions;    35Q51;    35Q55;    39A12;    39A70;   

DOI  :  10.1186/s13662-016-1003-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Under some weaker conditions than elsewhere, we obtain infinitely many homoclinic solutions for a class of discrete Schrödinger equations in infinite m dimensional lattices with nonlinearities being superlinear at infinity by using variational methods. Our result extends some existing results in the literature.

【 授权许可】

CC BY