Existence and Non Existence of Capillary Surfaces.
Robert Finn (1979)
Manuscripta mathematica
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Robert Finn (1979)
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Urs Lang (1995)
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Kilian, Martin, McIntosh, Ian, Schmitt, Nicholas (2000)
Experimental Mathematics
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Ulrich Dierkes (1986)
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Mariano Giaquinta (1974)
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Hong Jiaxing (1997)
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Ildefonso Castro Lopez, Manuel Ritore (1991)
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Klaus Ecker (1982)
Mathematische Zeitschrift
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Stefan Hildebrandt (1972)
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N.H. Kuiper, W. III Meeks (1984)
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Luigi Ambrosio, Jérôme Bertrand (2016)
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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.
Peter Buser (1978)
Manuscripta mathematica
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