Doubly periodic vortices for a Chern-Simons model

被引：2

作者：

Guo, Boling ^{[1
]}

Li, Fangfang ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou 466000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 458卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Chern-Simons model; BPS equations; Constrained minimization; Doubly periodic domain; MULTIVORTEX SOLUTIONS; CHARGED VORTICES; VORTEX; PARTICLES; FIELDS;

D O I：

10.1016/j.jmaa.2017.08.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish the existence of vortex solutions for a relativistic self dual U(1) x U(1) Chern-Simons system over a doubly periodic domain. We use a constrained minimization approach to obtain the existence result, the system admits a solution when the Chern-Simons coupling parameter k > 0 is sufficiently small; while no solution exists when k > 0 is not sufficiently small. And we also get the quantized integral. (C) 2017 Published by Elsevier Inc.

引用

页码：889 / 909

页数：21

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