二维阿贝尔规范理论中的静磁涡旋
Magneto-static vortices in two dimensional Abelian gauge theories
摘要：
本文研究了二维Klein-Gordon-Maxwell方程的涡的存在性。特别是，我们找到了在静磁的情况下，即当电位$ϕ=0$的涡旋存在的充分条件。这个结果，由于缺乏合适的嵌入定理的矢量位$\A$的帮助下实现的惩罚方法。
英文摘要：
We study the existence of vortices of the Klein-Gordon-Maxwell equations in the two dimensional case. In particular we find sufficient conditions for the existence of vortices in the magneto-static case, i.e when the electric potential $ϕ=0$. This result, due to the lack of suitable embedding theorems for the vector potential $\A$ is achieved with the help of a penalization method.
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