Existence of Ground State Solutions for Generalized Quasilinear Schrödinger Equations with Asymptotically Periodic Potential

• Yan-Fang Xue ^[2] ; Li-Ju Yu ^[1] ; Jian-Xin Han ^[2]
  1. [1] Jiaxing University

     Jiaxing University

     China

     
  2. [2] Xin-Yang Normal University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 3, 2022
• Idioma: inglés
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• Resumen

  • This article is concerned with the existence of positive ground state solutions for an asymptotically periodic quasilinear Schrödinger equation. By using a Nehari-type constraint, we get the existence results which improve the ones in Shi and Chen (Comput Math Appl 71:849–858, 2016). Moreover, we give an application of our results, which extends the results in Li (Commun Pure Appl Anal 14:1803–1816, 2015).