Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons System with Two Higgs Particles
Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons System with Two Higgs Particles
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DOI：
10.1007/s00220-010-1021-z
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发表时间：
2010-03
影响因子：
2.4
通讯作者：
J. Chern;Zhi-You Chen;Changshou Lin
中科院分区：
文献类型：
--
作者：
J. Chern;Zhi-You Chen;Changshou Lin
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.
