Abstract and Applied Analysis

On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations

Guowei Sun

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 436919, 6 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450113

Digital Object Identifier
doi:10.1155/2013/436919

Mathematical Reviews number (MathSciNet)
MR3090266

Zentralblatt MATH identifier
1295.39004

Citation

Sun, Guowei. On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 436919, 6 pages. doi:10.1155/2013/436919. https://projecteuclid.org/euclid.aaa/1393450113


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