Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions

Advances in Difference Equations

Liqian Jia¹  Guanwei Chen¹  Jun Chen² 

[1] School of Mathematical Sciences, University of Jinan, Jinan, P.R. China;Sun Yueqi Honors College, China University Of Mining And Technology, Xuzhou, P.R. China

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

DOI  :  10.1186/s13662-017-1344-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using variational methods, we study the existence and multiplicity of homoclinic solutions for a class of discrete Schrödinger equations in infinite m-dimensional lattices with nonlinearities being superlinear at infinity. Our results generalize some existing results in the literature by using some weaker conditions.

【 授权许可】

CC BY