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On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations

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  • Guowei Sun

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.

Suggested Citation

  • Guowei Sun, 2013. "On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:436919
    DOI: 10.1155/2013/436919
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    References listed on IDEAS

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    1. Ali Mai & Zhan Zhou, 2013. "Ground State Solutions for the Periodic Discrete Nonlinear Schrödinger Equations with Superlinear Nonlinearities," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, April.
    2. Ali Mai & Zhan Zhou, 2013. "Ground State Solutions for the Periodic Discrete Nonlinear Schrödinger Equations with Superlinear Nonlinearities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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