Multiplicity of ground state solutions for discrete nonlinear Schrodinger equations with unbounded potentials

Date

2017-02-02

Authors

Liu, Xia
Zhou, Tao
Shi, Haiping

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

The discrete nonlinear Schrödinger equation is a nonlinear lattice system that appears in many areas of physics such as nonlinear optics, biomolecular chains and Bose-Einstein condensates. In this article, we consider a class of discrete nonlinear Schrödinger equations with unbounded potentials. We obtain some new sufficient conditions on the multiplicity results of ground state solutions for the equations by using the symmetric mountain pass lemma. Recent results in the literature are greatly improved.

Description

Keywords

Ground state solutions, Critical point theory, Discrete nonlinear Schrödinger equation

Citation

Liu, X., Zhou, T., & Shi, H. (2017). Multiplicity of ground state solutions for discrete nonlinear Schrodinger equations with unbounded potentials. <i>Electronic Journal of Differential Equations, 2017</i>(38), pp. 1-9.

Rights

Attribution 4.0 International

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