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Existence of 3D-vortices in abelian gauge theories. (English) Zbl 1167.35351

Summary: We consider the abelian gauge theory related to the interaction between solitary wave solutions of the nonlinear Klein-Gordon equation and an electromagnetic field. We analyze the existence of electromagnetostatic solutions and, in particular, of vortices

MSC:

35J50 Variational methods for elliptic systems
81T13 Yang-Mills and other gauge theories in quantum field theory
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