Ground state solutions of Schrodinger system with fractional p-Laplacian

被引：0

作者：

Qiao, Yan ^{[2
]}

Chen, Fangqi ^{[1
]}

An, Yukun ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China

[2] Jiangsu Second Normal Univ, Sch Math & Informat Technol, Nanjing 210013, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 05期

基金：

中国国家自然科学基金;

关键词：

fractional p-Laplacian; ground state solution; Schrodinger equation; variational methods; SIGN-CHANGING SOLUTIONS; EQUATIONS;

D O I：

10.1515/ijnsns-2022-0112

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article deals with a class of nonlinear fractional p-Laplacian Schrodinger coupled system with critical and subcritical nonlinear terms. Firstly, the existence of a nonnegative ground state solution of the system is proved by the Nehari manifold method and the Ekeland's variational principle. In addition, through the Ljusternik-Schnirelmann theory, we link the number of solutions to the topology of the set in which the potentials in the system reach their minimum values.

引用

页码：1785 / 1802

页数：18

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