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