Electron. J. Diff. Equ., Vol. 2016 (2016), No. 183, pp. 1-9.

Standing waves for discrete nonlinear Schrodinger equations

Ming Jia

The discrete nonlinear Schrodinger equation is a nonlinear lattice system that appears in many areas of physics such as nonlinear optics, biomolecular chains and Bose-Einstein condensates. By using critical point theory, we establish some new sufficient conditions on the existence results of standing waves for the discrete nonlinear Schrodinger equations. We give an appropriate example to illustrate the conclusion obtained.

Submitted June 13, 2016. Published July 11, 2016.
Math Subject Classifications: 39A12, 39A70, 35C08.
Key Words: Standing waves; discrete nonlinear Schrodinger equation; critical point theory.

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Ming Jia
Swan College
Central South University of Forestry and Technology
Changsha 410004, China
email: jmznlkd@163.com

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