All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Ground state solutions of nonlinear Schr\"odinger equations with asymptotically periodic potentials
Shiwang Ma
Keywords:Nonlinear Schr\"{o}dinger equation; asymptotically periodic; ground state solution.
      In this paper, by using a concentration-compactness argument, we study the existence of ground state solutions for nonlinear Schr\"{o}dinger equations with asymptotically periodic potentials. In particular, when the coefficients are "competing", some sufficient conditions are given to guarantee the existence of ground state solutions, which improve and generalize some previous results in the literature.