Topological multivortex solutions for the Chern–Simons system with two Higgs particles. Issue 4 (2nd April 2016)

• Record Type: Journal Article
• Authors: Chen, Zhi-You; Chern, Jann-Long
• Is Part Of: Communications in partial differential equations. Volume 41:Issue 4(2016)
• Page Start: 705
• Page End: 731
• Publication Date: 2016-04-02
• Subjects: Uniqueness -- multivortex solution -- Chern-Simons system; Primary 35J47 -- 35J60 -- Secondary 35A02; Differential equations, Partial -- Periodicals; 515.353
• DOI: 10.1080/03605302.2015.1132429
• Languages: English
• ISSNs: 0360-5302

Abstract

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.