Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model

被引：6

作者：

Chen, Zhi-You ^{[1
]}

Chern, Jann-Long ^{[2
,3
]}

机构：

[1] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan

[2] Natl Cent Univ, Dept Math, Chungli 32001, Taiwan

[3] Natl Ctr Theoret Sci Taiwan, Taipei, Taiwan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2016年 / 270卷 / 06期

关键词：

Maxwell-Chern-Simons model; Multivortex solutions; Flux for non-topological solutions; Classification of solutions; EXISTENCE;

D O I：

10.1016/j.jfa.2016.01.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the uniqueness of topological multi vortex solutions for the self-dual Maxwell-Chern-Simons U(1) model if the Chern-Simons coupling parameter is sufficiently large and the charge of electron is sufficiently small or large. On the other hand, we also establish the sharp region of the flux for non-topological solutions and provide the classification of radial solutions of all types in the case of one vortex point. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：2073 / 2125

页数：53

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