Existence and Concentration of Ground State Solutions for a Schrödinger-Poisson-Type System with Steep Potential Well

被引：0

作者：

Huang, Jianwen ^{[1
]}

Chen, Chunfang ^{[1
]}

Yuan, Chenggui ^{[2
]}

机构：

[1] Nanchang Univ, Sch Math & Comp Sci, Nanchang 330031, Jiangxi, Peoples R China

[2] Swansea Univ, Dept Math, Bay Campus, Swansea SA1 8EN, Wales

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Schrodinger-Poisson-type system; Steep potential well; Ground state solution; Concentration behavior; POSITIVE SOLUTIONS; SCHRODINGER; MAXWELL;

D O I：

10.1007/s12346-023-00920-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the following nonlocal problem inR(3)({ )-Delta u+(1+lambda V(x))u-mu phi u=f(x,u),inR(3)-Delta phi=u(2),inR(3) where lambda>0 is a real parameter and mu>0 is small enough. Under some suitable assumptions on V(x)and f(x,u), we prove the existence of ground state solutions for the problem when lambda is large enough via variational methods. In addition, the concentration behavior of these ground state solutions is also investigated as lambda ->+infinity.

引用

页数：22

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