Existence of self-dual non-topological solutions in the Chern-Simons Higgs model

被引：40
|
作者：
Choe, Kwangseok [2 ]
Kim, Namkwon [1 ]
Lin, Chang-Shou [1 ,3 ]
机构：
[1] Chosun Univ, Dept Math, Kwangju 501759, South Korea
[2] Inha Univ, Dept Math, Inchon 402751, South Korea
[3] Natl Taiwan Univ, TIMS, Dept Math, Taipei, Taiwan
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2011年 / 28卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
Semi-linear PDE; Non-topological vortices; Chern-Simons Higgs model; MEAN-FIELD EQUATIONS; BLOW-UP SOLUTIONS; MULTIVORTEX SOLUTIONS;
D O I：
10.1016/j.anihpc.2011.06.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the existence of non-topological solutions of the Chern-Simons Higgs model in R-2. A long standing problem for this equation is: Given N vortex points and beta > 8 pi (N + 1). does there exist a non-topological solution in R-2 such that the total magnetic flux is equal to beta/2? In this paper, we prove the existence of such a solution if beta is not an element of {8 pi N k/k-1 vertical bar k = 2, ....N}). We apply the bubbling analysis and the Leray-Schauder degree theory to solve this problem. (C) 2011 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：837 / 852
页数：16
相关论文
共 50 条
12345