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 .
Titolo: | Harmonic mappings into manifolds with boundary |
Autori: | CHEN Y.M.; MUSINA R |
Rivista: | |
Data di pubblicazione: | 1990 |
Volume: | 17 |
Fascicolo: | 3 |
Pagina iniziale: | 365 |
Pagina finale: | 392 |
URL: | http://www.numdam.org/item?id=ASNSP_1990_4_17_3_365_0 |
Appare nelle tipologie: | 1.1 Journal article |
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