Topological multivortex solutions for the Chern–Simons system with two Higgs particles

Zhi You Chen, Jann Long Chern

Research output: Contribution to journal › Article

Abstract

In this paper, we prove the uniqueness of topological multivortex solutions to the self-dual abelian Chern–Simons model if either the Chern–Simons coupling parameter is sufficiently small or sufficiently large. In addition, we also establish the sharp region of the flux for nontopological solutions with a single vortex point.

Original languageEnglish
Pages (from-to)705-731
Number of pages27
JournalCommunications in Partial Differential Equations
Volume41
Issue number4
DOIs
Publication statusPublished - 2016 Apr 2

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Point Vortex
Higgs
Uniqueness
Vortex flow
Fluxes
Model

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Chen, Zhi You ; Chern, Jann Long. / Topological multivortex solutions for the Chern–Simons system with two Higgs particles. In: Communications in Partial Differential Equations. 2016 ; Vol. 41, No. 4. pp. 705-731.
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Chen, ZY & Chern, JL 2016, 'Topological multivortex solutions for the Chern–Simons system with two Higgs particles', Communications in Partial Differential Equations, vol. 41, no. 4, pp. 705-731. https://doi.org/10.1080/03605302.2015.1132429

Topological multivortex solutions for the Chern–Simons system with two Higgs particles. / Chen, Zhi You; Chern, Jann Long.

In: Communications in Partial Differential Equations, Vol. 41, No. 4, 02.04.2016, p. 705-731.

Research output: Contribution to journal › Article

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Chen ZY, Chern JL. Topological multivortex solutions for the Chern–Simons system with two Higgs particles. Communications in Partial Differential Equations. 2016 Apr 2;41(4):705-731. https://doi.org/10.1080/03605302.2015.1132429

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