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

Zhi You Chen; Jann Long Chern

doi:10.1016/j.jfa.2016.01.024

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

Zhi You Chen, Jann Long Chern^*

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

In this paper, we prove the uniqueness of topological multivortex 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.

Original language	English
Pages (from-to)	2073-2125
Number of pages	53
Journal	Journal of Functional Analysis
Volume	270
Issue number	6
DOIs	https://doi.org/10.1016/j.jfa.2016.01.024
Publication status	Published - 2016 Mar 15
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2016.01.024

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title = "Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model",

abstract = "In this paper, we prove the uniqueness of topological multivortex 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.",

keywords = "Classification of solutions, Flux for non-topological solutions, Maxwell-Chern-Simons model, Multivortex solutions",

author = "Chen, {Zhi You} and Chern, {Jann Long}",

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year = "2016",

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doi = "10.1016/j.jfa.2016.01.024",

language = "English",

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AU - Chen, Zhi You

AU - Chern, Jann Long

PY - 2016/3/15

Y1 - 2016/3/15

N2 - In this paper, we prove the uniqueness of topological multivortex 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.

AB - In this paper, we prove the uniqueness of topological multivortex 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.

KW - Classification of solutions

KW - Flux for non-topological solutions

KW - Maxwell-Chern-Simons model

KW - Multivortex solutions

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EP - 2125

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 6

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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