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On the uniqueness of minimizing harmonic maps to a closed hemisphere
Authors:Etienne Sandier  Itai Shafrir
Institution:(1) Laboratoire d'analyse numérique, Université Pierre et Marie Curie, Tour 55-65 5ème étage, 4, Place Jussieu, F-75230 Paris Cedex 05, France;(2) DMI, Université de Metz, Ile du Saulcy, F-57045 Metz, France
Abstract:We study the uniqueness of minimizing harmonic maps to a closed hemisphere. We are able to describe the boundary data for which there are more than one minimizer, and to describe in these cases the corresponding set of minimizers. This is a limiting case for a former result of W.Jäger and H.Kaul.This article was processed by the author using the Springer-Verlag TEX PJourlg macro package 1991.
Keywords:49-XX  58E20
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