Let (M, g) be an oriented Riemannian manifold of finite dimension and let C be a closed subset of the Euclidean space R k. In this paper we illustrate some results on harmonic maps u: M →C which were obtained in collaboration with Chen Yun-Mei. Our first purpose was to find a generalization of the usual definition of a harmonic map between two Riemannian manifolds in order to consider less regular target spaces. Our second aim was to extend a result by Chen and Struwe about the heat flow of harmonic mappings into manifolds with boundary.
VARIATIONAL-PROBLEMS WITH OBSTACLES AND HARMONIC MAPS
Musina, Roberta
1991
Abstract
Let (M, g) be an oriented Riemannian manifold of finite dimension and let C be a closed subset of the Euclidean space R k. In this paper we illustrate some results on harmonic maps u: M →C which were obtained in collaboration with Chen Yun-Mei. Our first purpose was to find a generalization of the usual definition of a harmonic map between two Riemannian manifolds in order to consider less regular target spaces. Our second aim was to extend a result by Chen and Struwe about the heat flow of harmonic mappings into manifolds with boundary.File in questo prodotto:
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