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

Abstract 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 us...

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Bibliographic Details
Main Authors: Liqian Jia, Jun Chen, Guanwei Chen
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-017-1344-6