Magneto-Static Vortices in Two Dimensional Abelian Gauge Theories

被引：7
|
作者：
Bellazzini, Jacopo [1 ]
Bonanno, Claudio [1 ]
Siciliano, Gaetano [2 ]
机构：
[1] Univ Pisa, Dipartimento Matemat Applicata, I-56127 Pisa, Italy
[2] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2009年 / 6卷 / 03期
关键词：
Klein-Gordon-Maxwell equations; two dimensional vortex; SOLITARY WAVES; MAXWELL EQUATIONS;
D O I：
10.1007/s00009-009-0013-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of vortices of the Klein-Gordon-Maxwell equations in the two dimensional case. In particular we find sufficient conditions for the existence of vortices in the magneto-static case, i.e. when the electric potential phi = 0. This result, due to the lack of suitable embedding theorems for the vector potential A is achieved with the help of a penalization method.
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页码：347 / 366
页数：20
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