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Two results on the equivariant Ginzburg-Landau vortex in arbitrary dimension
Authors:Adriano Pisante
Affiliation:Department of Mathematics, Sapienza, University of Rome, P.le Aldo Moro 5, 00185 Roma, Italy
Abstract:
We characterize the O(N)-equivariant vortex solution for Ginzburg-Landau type equations in the N-dimensional Euclidean space and we prove its local energy minimality for the corresponding energy functional.
Keywords:Ginzburg-Landau equation   Harmonic maps   Local minimizers
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