A positive ground state solution for a class of asymptotically periodic Schrödinger equations

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Abstract

In this paper, by using the reformative conditions, a class of asymptotically periodic Schrödinger equations are studied. Via the variational method, a positive ground state solution is obtained.

Keywords

Schrödinger equation
Variational method
Lions lemma
Ground state solution

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Supported by National Natural Science Foundation of China (No. 11471267); Fundamental Research Funds for the Central Universities (No. XDJK2015D015); Natural Science Foundation of Education of Guizhou Province (No. LH[2015]7047; LH[2015]7049).