Abstract and Applied Analysis

On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations

Guowei Sun

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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.

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

First available in Project Euclid: 26 February 2014

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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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