Magneto-static vortices in two dimensional Abelian gauge theories

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dc.creatorBellazzini, J.
dc.creatorBonanno, C.
dc.creatorSiciliano, G.
dc.date2008-03-19
dc.date.accessioned2026-07-07T09:27:31Z
dc.date.available2026-07-07T09:27:31Z
dc.descriptionWe 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.
dc.description23 pages, no figures
dc.identifierhttps://arxiv.org/abs/0803.2784
dc.identifierhttp://arxiv.org/abs/0803.2784
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157129
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35J20; 35J60; 35Q60
dc.titleMagneto-static vortices in two dimensional Abelian gauge theories
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