Plateau's Problem for Surfaces of Prescribed Mean Curvature in Given Regions.
Ulrich Dierkes (1986)
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Ulrich Dierkes (1986)
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Kilian, Martin, McIntosh, Ian, Schmitt, Nicholas (2000)
Experimental Mathematics
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Tudor Zamfirescu (1980)
Mathematische Annalen
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Robert Finn (1979)
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Nikolaos Kapouleas (1995)
Inventiones mathematicae
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Peter Buser (1978)
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Luigi Ambrosio, Jérôme Bertrand (2016)
Analysis and Geometry in Metric Spaces
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In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance derives from a Riemannian metric whose components, for any p ∈ [1, 2), locally belong to W1,p out of a discrete singular set. This result is based on Reshetnyak’s work on the more general class of surfaces with bounded integral curvature.
Katsuei Kenmotsu (1979)
Mathematische Annalen
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Tudor Zamfirescu (1980)
Mathematische Zeitschrift
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Hsu, Lucas, Kusner, Rob, Sullivan, John (1992)
Experimental Mathematics
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Norbert Jakobowsky (1994)
Mathematische Zeitschrift
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Mariano Giaquinta (1974)
Manuscripta mathematica
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Klaus Ecker (1982)
Mathematische Zeitschrift
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