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S1-Valued Harmonic Maps with High Topological Degree: Asymptotic Behavior of the Singular Set
Authors:Sandier  E  Soret  M
Institution:(1) département de Mathématiques, Université F. Rabelais, 37200 Tours, France;(2) département de Mathématiques, Université F. Rabelais, 37200 Tours, France
Abstract:We prove that the singularities of harmonic maps from a domain D in the plane to S 1 minimizing a renomalized energy tend to go to the boundary when their number becomes large.
Keywords:harmonic maps  singularities  renormalized energies  Ginzburg–  Landau functionals
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