GROUND STATE SOLUTIONS FOR NONLINEAR SCHRODINGER-BOPP-PODOLSKY BOPP-PODOLSKY SYSTEMS WITH NONPERIODIC POTENTIALS

被引：0

作者：

Jiang, Qiaoyun ^{[1
]}

Li, Lin ^{[1
]}

Chen, Shangjie ^{[1
]}

Siciliano, Gaetano ^{[2
]}

机构：

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

[2] Univ Bari, Dipartimento Matemat, Via E Orabona 4, I-70215 Bari, Italy

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 43期

基金：

中国国家自然科学基金; 巴西圣保罗研究基金会;

关键词：

Schrodinger-Bopp-Podolsky equation; variational method; Nehari manifold; critical growth; POISSON SYSTEMS; EQUATIONS; FOUNDATIONS;

D O I：

10.58997/ejde.2024.43

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the existence of ground-state solutions for the Schrodinger-Bopp-Podolsky equations -Delta u + V(x)u + phi u = f(x,u) in R-3 -Delta phi + a(2)Delta(2)phi = 4 pi u(2) in R-3, where V is an element of C(R-3,R) has different forms on the half spaces, i.e. V(x) = V-1(x) for x(1 )> 0, and V(x) = V-2(x) for x(1 )< 0, where V-1,V-2 is an element of C(R-3) are periodic in each coordinate. The nonlinearity f is superlinear at infinity with subcritical or critical growth.

引用

页码：1 / 25

页数：25

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