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EnglishLet (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.
| Titolo: | VARIATIONAL-PROBLEMS WITH OBSTACLES AND HARMONIC MAPS |
| Autori: | MUSINA R |
| Titolo del libro: | NEMATICS: MATHEMATICAL AND PHYSICAL ASPECTS |
| Editore: | Kluwer Academic Publishers |
| Data di pubblicazione: | 1991 |
| Volume: | 332 |
| Pagina iniziale: | 279 |
| Pagina finale: | 290 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/978-94-011-3428-6_21 |
| URL: | http://www.springerlink.com/content/r008n10837g57873/ |
| ISBN: | 0792311132 |
| Appare nelle tipologie: | 4.1 Contribution in Conference proceedings |
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