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

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• 作者：Zhi-You Chen^a ; ¹ ; ^{zhiyou@cc.ncue.edu.tw" class="auth_mail" title="E-mail the corresponding author} ; Jann-Long Chern^b ; ^c ; ² ; ^{chern@math.ncu.edu.tw" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 35J47 ; 35J60 ; secondary ; 35A02
• 刊名：Journal of Functional Analysis
• 出版年：2016
• 出版时间：15 March 2016
• 年：2016
• 卷：270
• 期：6
• 页码：2073-2125
• 全文大小：778 K

文摘

In this paper, we prove the uniqueness of topological multivortex solutions for the self-dual Maxwell–Chern–Simons U(1)$U(1)$ 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.