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

被引：0
|
作者：
Yan-Fang Xue
Li-Ju Yu
Jian-Xin Han
机构：
[1] Xin-Yang Normal University,School of Mathematics and Statistics
[2] Jiaxing University,School of Data Science
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Quasilinear Schrödinger equation; Ground state solutions; Asymptotically periodic; Nehari manifold;
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摘要：
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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