Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model

作者：Chen Zhi You; Chern Jann Long^*

来源：Journal of Functional Analysis, 2016, 270(6): 2073-2125.

DOI：10.1016/j.jfa.2016.01.024

• Maxwell-Chern-Simons model
• Multivortex solutions
• Flux for non-topological solutions
• Classification of solutions

In this paper, we prove the uniqueness of topological multi vortex solutions for the self-dual Maxwell-Chern-Simons U(1) model if the Chern-Simons coupling parameter is sufficiently large and the charge of electron is sufficiently small or large. On the other hand, we also establish the sharp region of the flux for non-topological solutions and provide the classification of radial solutions of all types in the case of one vortex point.

• 出版日期2016-3-15
• 单位中央民族大学