Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two higgs particles
Journal
Communications in Mathematical Physics
Journal Volume
296
Journal Issue
2
Pages
323-351
Date Issued
2010
Author(s)
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. © Springer-Verlag 2010.
Type
journal article