The analysis of solutions for Maxwell–Chern–Simons O(3) sigma model

Zhi You Chen; Jann Long Chern

doi:10.1007/s00526-019-1590-4

The analysis of solutions for Maxwell–Chern–Simons O(3) sigma model

Zhi You Chen, Jann Long Chern

Department of Mathematics

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

Abstract

In this paper, we prove the uniqueness of topological solutions for the self-dual Maxwell–Chern–Simons O(3) sigma model under the conditions on Chern–Simons coupling parameter and the charge of electron. Besides, we also provide the quantitative analysis of radial solutions of all types for single vortex-point case.

Original language	English
Article number	147
Journal	Calculus of Variations and Partial Differential Equations
Volume	58
Issue number	4
DOIs	https://doi.org/10.1007/s00526-019-1590-4
Publication status	Published - 2019 Aug 1

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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abstract = "In this paper, we prove the uniqueness of topological solutions for the self-dual Maxwell–Chern–Simons O(3) sigma model under the conditions on Chern–Simons coupling parameter and the charge of electron. Besides, we also provide the quantitative analysis of radial solutions of all types for single vortex-point case.",

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