The Plateau Problem for Surfaces of Prescribed Mean Curvature in a Cylinder.
R. Gulliver, J. Spruck (1971)
Inventiones mathematicae
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R. Gulliver, J. Spruck (1971)
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Nikolaos Kapouleas (1995)
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Kilian, Martin, McIntosh, Ian, Schmitt, Nicholas (2000)
Experimental Mathematics
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Nick Korevaar, Rob Kusner (1993)
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Enrico Giusti (1978)
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C.J. Costa (1991)
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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.
Hsu, Lucas, Kusner, Rob, Sullivan, John (1992)
Experimental Mathematics
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Klaus Ecker (1982)
Mathematische Zeitschrift
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