Existence, Regularity, and Boundary Behaviour of Generalized Surfaces of Prescribed Mean Curvature.
Claus Gerhardt (1974)
Mathematische Zeitschrift
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Claus Gerhardt (1974)
Mathematische Zeitschrift
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Klaus Steffen (1976)
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Graham H. Williams (1978/79)
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Robert Gulliver (1973)
Mathematische Zeitschrift
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Friedrich Tomi (1975)
Mathematische Zeitschrift
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Henry C. Wente (1971)
Mathematische Zeitschrift
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Robert Gulliver, Joel Spruck (1972)
Mathematische Zeitschrift
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Norbert Jakobowsky (1994)
Mathematische Zeitschrift
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Karsten Große-Braukmann (1993)
Mathematische Zeitschrift
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Klaus Ecker (1982)
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Frank Müller (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We study the shape of stationary surfaces with prescribed mean curvature in the Euclidean 3-space near boundary points where Plateau boundaries meet free boundaries. In deriving asymptotic expansions at such points, we generalize known results about minimal surfaces due to G. Dziuk. The main difficulties arise from the fact that, contrary to minimal surfaces, surfaces with prescribed mean curvature do not meet the support manifold perpendicularly along their free boundary, in general. ...
Stefan Hildebrandt (1972)
Mathematische Zeitschrift
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James Serrin (1969)
Mathematische Zeitschrift
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