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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:267

Article

D'Avenia, Pietro¹  Siciliano, Gaetano² 

[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

关键词: Elliptic systems;    Schrodinger-Bopp-Podolsky equations;    Variational Methods;    Standing waves solutions;   

DOI  :  10.1016/j.jde.2019.02.001

来源: Elsevier

【 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.

【 授权许可】

Free