ELECTRO-MAGNETO-STATIC STUDY OF THE NONLINEAR SCHRODINGER EQUATION COUPLED WITH BOPP-PODOLSKY ELECTRODYNAMICS IN THE PROCA SETTING

被引：12
作者：
Hebey, Emmanuel [1 ]
机构：
[1] Univ Cergy Pontoise, Dept Math, Site St Martin, 2 Ave Adolphe Chauvin, F-95302 Cergy Pontoise, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2019年 / 39卷 / 11期
关键词：
Schrodinger equation; Bopp-Podolski electrodynamics; Proca setting; stability theory; fourth order systems of equations; BLOW-UP PHENOMENA; YAMABE EQUATION; SOBOLEV SPACES; SYSTEMS; THEOREM; PROOF; MASS;
D O I：
10.3934/dcds.2019291
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the system consisting of the the nonlinear Schrodinger equation coupled with Bopp-Podolsky electrodynamics in the Proca setting in the context of closed 3-dimensional manifolds. We prove existence of solutions up to the gauge, and compactness of the system both in the subcritical and in the critical case.
引用
收藏
页码：6683 / 6712
页数：30
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