Existence of solutions for asymptotically periodic quasilinear Schrödinger equations with local nonlinearities

被引：0

作者：

Han, Jian-Xin ^{[1
]}

Wei, Yu -Ting ^{[1
]}

Xue, Yan-Fang ^{[1
]}

机构：

[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2024年 / 18期

基金：

中国国家自然科学基金;

关键词：

quasilinear Schr & ouml; dinger equation; L infinity -estimate; asymptotically periodic; Nehari manifold; SCHRODINGER-EQUATIONS;

D O I：

10.14232/ejqtde.2024.1.18

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of positive solutions for asymptotically periodic quasilinear Schr & ouml;dinger equations. By using a Nehari-type constraint and Moser iteration, we get the existence results which is a complement to the ones in Chu and Liu [Nonlinear Anal. Real World Appl. 44(2018), 118-127]. Moreover, we consider a new reformative asymptotic processes of the potential function and the nonlinearity term is only locally defined.

引用

页码：1 / 18

页数：18

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