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EnglishIn this paper we deal with harmonic maps from a compact Riemannian manifold into a manifold with boundary. In this case, a weak harmonic map in de definition a solution to a differential inclusion. In the first part of the paper we investigate the general properties of weak harmonic maps, which can be seen a solutions to a system of elliptic differential equations. In the second part we concentrate our attention on the heat flow method for harmonic maps. The result we achieve in this context extends a result by Chen and Struwe .
| Titolo: | Harmonic mappings into manifolds with boundary |
| Autori: | |
| Data di pubblicazione: | 1990 |
| Rivista: | |
| Abstract: | In this paper we deal with harmonic maps from a compact Riemannian manifold into a manifold with boundary. In this case, a weak harmonic map in de definition a solution to a differential inclusion. In the first part of the paper we investigate the general properties of weak harmonic maps, which can be seen a solutions to a system of elliptic differential equations. In the second part we concentrate our attention on the heat flow method for harmonic maps. The result we achieve in this context extends a result by Chen and Struwe . |
| Handle: | http://hdl.handle.net/11390/680790 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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