Ground State Solutions for the Nonlinear Schrodinger-Bopp-Podolsky System with Critical Sobolev Exponent

被引：36

作者：

Li, Lin ^{[2
,3
,4
]}

Pucci, Patrizia ^{[1
]}

Tang, Xianhua ^{[2
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, Via Vanvitelli 1, I-06123 Perugia, Italy

[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[3] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China

[4] Chongqing Technol & Business Univ, Chongqing Key Lab Social Econ & Appl Stat, Chongqing 400067, Peoples R China

来源：

ADVANCED NONLINEAR STUDIES | 2020年 / 20卷 / 03期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Schrodinger-Bopp-Podolsky System; Pohozaev's Identity; Concentration-Compactness Principle; Ground State Solution; POSITIVE SOLUTIONS; POISSON EQUATIONS; EXISTENCE; FOUNDATIONS;

D O I：

10.1515/ans-2020-2097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of ground state solutions for the nonlinear Schrodinger-Bopp-Podolsky system with critical Sobolev exponent {-Delta u + V(x)u +q(2)phi u = mu vertical bar u vertical bar(p-1 )u + vertical bar u vertical bar(4)u in R-3, -Delta phi + a(2)Delta(2)phi = 4 pi u(2) in R-3, where mu > 0 is a parameter and 2 < p < 5. Under certain assumptions on V, we prove the existence of a nontrivial ground state solution, using the method of the Pohozaev-Nehari manifold, the arguments of Brezis-Nirenberg, the monotonicity trick and a global compactness lemma.

引用

页码：511 / 538

页数：28

共 25 条

[1] Ground state solutions for the nonlinear Schrodinger-Maxwell equations [J].