Multiplicity of ground state solutions for discrete nonlinear Schrodinger equations with unbounded potentials
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Date
2017-02-02
Authors
Liu, Xia
Zhou, Tao
Shi, Haiping
Journal Title
Journal ISSN
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