Three dimensional vortices in Abelian Gauge Theories

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dc.creatorBenci, Vieri
dc.creatorFortunato, Donato
dc.date2007-11-21
dc.date.accessioned2026-07-07T08:44:13Z
dc.date.available2026-07-07T08:44:13Z
dc.descriptionIn this paper we consider an Abelian Gauge Theory in R^4 equipped with the Minkowski metric. This theory leads to a system of equations, the Klein-Gordon-Maxwell equations, which provide models for the interaction between the electromagnetic field and matter. A three dimensional vortex is a finite energy solution of these equations in which the magnetic field looks like the field created by a finite solenoid. Under suitable assumptions, we prove the existence of vortex-solutions.
dc.description31 pagine
dc.identifierhttps://arxiv.org/abs/0711.3351
dc.identifierhttp://arxiv.org/abs/0711.3351
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142583
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35J50; 81T13
dc.titleThree dimensional vortices in Abelian Gauge Theories
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