Liu, XiaZhou, TaoShi, Haiping2022-03-282022-03-282017-02-02Liu, 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. 1-9.1072-6691https://hdl.handle.net/10877/15562The 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.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalGround state solutionsCritical point theoryDiscrete nonlinear Schrödinger equationArticle