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Abstract and Applied Analysis
Volume 2013, Article ID 436919, 6 pages
Research Article

On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations

Department of Applied Mathematics, Yuncheng University, Yuncheng, Shanxi 044000, China

Received 13 June 2013; Revised 14 July 2013; Accepted 14 July 2013

Academic Editor: Juan J. Nieto

Copyright © 2013 Guowei Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The purpose of this paper is to study a class of discrete nonlinear Schrödinger equations. Under a weak superlinearity condition at infinity instead of the classical Ambrosetti-Rabinowitz condition, the existence of standing waves of the equations is obtained by using the Nehari manifold approach.