Fortunato, Donato; Benci, V. Existence of 3D-vortices in abelian gauge theories. (English) Zbl 1167.35351 Mediterr. J. Math. 3, No. 3-4, 409-418 (2006). 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 Cited in 3 Documents MSC: 35J50 Variational methods for elliptic systems 81T13 Yang-Mills and other gauge theories in quantum field theory Keywords:abelian gauge theory; Vortex; Palais-Smale sequence; Natural-constraint PDFBibTeX XMLCite \textit{D. Fortunato} and \textit{V. Benci}, Mediterr. J. Math. 3, No. 3--4, 409--418 (2006; Zbl 1167.35351) Full Text: DOI