Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons System with Two Higgs Particles

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51162

Title:	Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons System with Two Higgs Particles
Authors:	Chern,JL;Chen,ZY;Lin,CS
Contributors:	數學系
Keywords:	NONTOPOLOGICAL MULTIVORTEX SOLUTIONS;GAUGE-THEORIES;FIELD-THEORY;EXISTENCE;VORTICES;SOLITONS;EQUATION;ENERGY;VORTEX;PLANE
Date:	2010
Issue Date:	2012-03-27 18:23:39 (UTC+8)
Publisher:	國立中央大學
Abstract:	The existence of topological solutions for the Chern-Simons equation with two Higgs particles has been proved by Lin, Ponce and Yang [16]. However, both the uniqueness problem and the existence of non-topological solutions have been left open. In this paper, we consider the case of one vortex at origin. Among others, we prove the uniqueness of topological solutions and give a complete study of the radial solutions, in particular, the existence of some non-topological solutions.
Relation:	COMMUNICATIONS IN MATHEMATICAL PHYSICS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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