Standing waves for discrete nonlinear Schrödinger equations: sign-changing nonlinearities

2011 ◽  
Vol 92 (2) ◽  
pp. 308-317 ◽  
Author(s):  
Alexander Pankov
Keyword(s):  
Standing Waves ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Discrete Nonlinear Schrödinger Equations

scholarly journals On Standing Wave Solutions for Discrete Nonlinear Schrödinger Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Guowei Sun
Keyword(s):  
Standing Waves ◽  
Nehari Manifold ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Wave Solutions ◽  
Nonlinear Schrodinger Equations ◽  
Discrete Nonlinear Schrödinger Equations ◽  
The Nehari Manifold

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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