Hypersurfaces of prescribed mean curvature in central projection-I |
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Authors: | Schwab D |
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Institution: | (1) Institut für Mathematik, Gerhard-Mercator-Universität Duisburg, 47048 Duisburg, Germany |
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Abstract: | We consider the Dirichlet-problem associated with
H-surfaces in central projection.
By using a variational approach in the space of functions of bounded variation,
and in connection with the theory of minimal sets, we obtain very general existence
and regularity results provided the mean curvature H
fulfils a certain monotony condition.
Received: 11 February 2003 |
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Keywords: | 49N60 58J05 |
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