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Existence of 3D-Vortices in Abelian Gauge Theories
Authors:Vieri Benci  Donato Fortunato
Institution:(1) Dipartimento di Matematica Applicata “U. Dini”, Università degli Studi di Pisa, via Bonanno 25/b, 56126 Pisa, Italy;(2) Dipartimento di Matematica, Università degli Studi di Bari and INFN Sezione di Bari, Via Orabona 4, 70125 Bari, Italy
Abstract:We consider the Abelian gauge theory related to the interaction between the solitary waves of the nonlinear Klein-Gordon equation and the electromagnetic field. We analyze the existence of electromagnetostatic solutions and, in particular, of vortices. Dedicated to the memory of Professor Aldo Cossu
Keywords:Primary 35J50  Secondary 81T13
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