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Existence of ground state solutions for generalized quasilinear Schr\”{o}dinger equations with asymptotically periodic potential
  • Yanfang Xue,
  • Liju Yu,
  • Jianxin Han
Yanfang Xue
Xinyang Normal University
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Liju Yu
Jiaxing University
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Jianxin Han
Xinyang Normal University

Corresponding Author:[email protected]

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Abstract

This article is concerned with the existence of positive ground state solutions for an asymptotically periodic quasilinear Schr\”{o}dinger equation. By using a Nehari-type constraint, we get the existence results which improve the ones in Shi and Chen [Comput. Math. Appl. 71, 2016, 849-858]. Moreover, we give an application of our results, which extends the results in Li [Commun. Pure Appl. Anal. 14, 2015, 1803-1816].