ON THE FAMILY OF NON-TOPOLOGICAL SOLUTIONS FOR THE ELLIPTIC SYSTEM ARISING FROM A PRODUCT ABELIAN GAUGE FIELD THEORY

被引：0
作者：
Chern, Jann-Long [1 ]
Yang, Sze-Guang [1 ]
Chen, Zhi-You [2 ]
Chen, Chih-Her [1 ]
机构：
[1] Natl Cent Univ, Dept Math, Chungli 32001, Taiwan
[2] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2020年 / 40卷 / 06期
关键词：
Existence; non-topological; flux; system; solution structure; COSMIC STRINGS; EXISTENCE;
D O I：
10.3934/dcds.2020127
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by constructing a family of approximation solutions and applying a specific version of the Implicit Function Theorem (please see, e.g. [18]), we prove the existence of non-topological solutions for the elliptic system arising from a product Abelian gauge field theory.
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页码：3291 / 3304
页数：14
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