On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations | Zendy

Guowei Sun | Zendy

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On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations

Author(s) -

Guowei Sun

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/436919

Subject(s) - mathematics , nehari manifold , standing wave , infinity , nonlinear system , class (philosophy) , mathematical analysis , manifold (fluid mechanics) , schrödinger's cat , schrödinger equation , physics , mechanical engineering , quantum mechanics , artificial intelligence , computer science , engineering , optics

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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