Bernstein-type theorems for space-like surfaces with parallel mean curvature.
Y.L. Xin, Rugang Ye (1997)
Journal für die reine und angewandte Mathematik
Similarity:
Y.L. Xin, Rugang Ye (1997)
Journal für die reine und angewandte Mathematik
Similarity:
Kilian, Martin, McIntosh, Ian, Schmitt, Nicholas (2000)
Experimental Mathematics
Similarity:
Frank Müller (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
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. ...
Hsu, Lucas, Kusner, Rob, Sullivan, John (1992)
Experimental Mathematics
Similarity:
Willi Jäger, Stefan Hildebrandt (1970)
Mathematische Zeitschrift
Similarity:
Luigi Ambrosio, Jérôme Bertrand (2016)
Analysis and Geometry in Metric Spaces
Similarity:
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.
Josef Dorfmeister, Hongyou Wu (1993)
Journal für die reine und angewandte Mathematik
Similarity:
Klaus Steffen (1976)
Mathematische Zeitschrift
Similarity:
Nikolaos Kapouleas (1995)
Inventiones mathematicae
Similarity:
Hongyou Wu (2001)
Mathematica Bohemica
Similarity:
We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential equations.