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arXiv · 0803.2784

Magneto-static vortices in two dimensional Abelian gauge theories

J. Bellazzini·C. Bonanno·G. Siciliano
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Abstract

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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J. Bellazzini, C. Bonanno, G. Siciliano. 2008-03-19. Magneto-static vortices in two dimensional Abelian gauge theories. https://arxiv.org/abs/0803.2784

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