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Existence of the Ginzburg--Landau Vortex Number
Authors:Mats Aigner
Institution:Department of Mathematics, Link?ping University, 581 83 Link?ping, Sweden.?E-mail: maaig@mai.liu.se, SE
Abstract:The existence of the Ginzburg–Landau vortex number is established for any configuration with finite action. As a consequence, Bogomol'nyi's formula for the critical action is valid for any finite action configuration. Received: 16 November 1999 / Accepted: 7 July 2000
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