Nonlinear Schrodinger equation in the Bopp-Podolsky electrodynamics: Solutions in the electrostatic case

被引：62

作者：

D'Avenia, Pietro ^{[1
]}

Siciliano, Gaetano ^{[2
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Via Orabona 4, I-70125 Bari, Italy

[2] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Elliptic systems; Schrodinger-Bopp-Podolsky equations; Variational Methods; Standing waves solutions; STANDING WAVES; SOLITARY WAVES; EXISTENCE; FOUNDATIONS; STABILITY;

D O I：

10.1016/j.jde.2019.02.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the following nonlinear Schrodinger-Bopp-Podolsky system {-Delta u + omega u + q(2) phi u = vertical bar u vertical bar(p-2)u in R-3 -Delta phi + a(2)Delta(2)phi = 4 pi u(2) with a, omega > 0. We prove existence and nonexistence results depending on the parameters q, p. Moreover we also show that, in the radial case, the solutions we find tend to solutions of the classical Schrodinger Poisson system as a -> 0. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1025 / 1065

页数：41

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