On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory

Jann Long Chern; Sze Guang Yang; Zhi You Chen; Chih Her Chen

doi:10.3934/dcds.2020127

On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory

Jann Long Chern^*
, Sze Guang Yang
, Zhi You Chen
, Chih Her Chen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	3291-3304
Number of pages	14
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	40
Issue number	6
DOIs	https://doi.org/10.3934/dcds.2020127
Publication status	Published - 2020
Externally published	Yes

Keywords

Existence
Flux
Non-topological
Solution structure
System

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2020127

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title = "On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory",

abstract = "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.",

keywords = "Existence, Flux, Non-topological, Solution structure, System",

author = "Chern, \{Jann Long\} and Yang, \{Sze Guang\} and Chen, \{Zhi You\} and Chen, \{Chih Her\}",

year = "2020",

doi = "10.3934/dcds.2020127",

language = "English",

volume = "40",

pages = "3291--3304",

journal = "Discrete and Continuous Dynamical Systems- Series A",

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publisher = "American Institute of Mathematical Sciences",

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T1 - On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory

AU - Chern, Jann Long

AU - Yang, Sze Guang

AU - Chen, Zhi You

AU - Chen, Chih Her

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Existence

KW - Flux

KW - Non-topological

KW - Solution structure

KW - System

UR - https://www.scopus.com/pages/publications/85082520023

UR - https://www.scopus.com/pages/publications/85082520023#tab=citedBy

U2 - 10.3934/dcds.2020127

DO - 10.3934/dcds.2020127

M3 - Article

AN - SCOPUS:85082520023

SN - 1078-0947

VL - 40

SP - 3291

EP - 3304

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 6

ER -

On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory

Abstract

Keywords

ASJC Scopus subject areas

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