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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
  • Enlaces
  • 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).

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