Abstract and Applied Analysis (Jan 2013)

On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations

  • Guowei Sun

DOI
https://doi.org/10.1155/2013/436919
Journal volume & issue
Vol. 2013

Abstract

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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.