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. |
Abstract: |
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. |
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