Magneto-static vortices in two dimensional Abelian gauge theories
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 $\phi=0$. This result, due to the lack of suitable embedding the...
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| Sprache: | eng |
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| Zusammenfassung: | 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 $\phi=0$. This result, due to the lack of suitable embedding theorems
for the vector potential $\A$ is achieved with the help of a penalization
method. |
|---|---|
| DOI: | 10.48550/arxiv.0803.2784 |