Nonparametric minimal surfaces in whose boundaries have a jump discontinuity.
Lancaster, Kirk E. (1988)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On solving the Plateau problem in parametric form.”
Nonparametric minimal surfaces in whose boundaries have a jump discontinuity.
A finite element method for the computation of parametric minimal surfaces
Dziuk, Gerhard, Hutchinson, John E.
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Stable approximations of a minimal surface problem with variational inequalities.
Nashed, M.Zuhair, Scherzer, Otmar (1997)
Abstract and Applied Analysis
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The regularity of the trace for minimal surfaces
Johannes C. C. Nitsche (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Minimal surfaces in pseudohermitian geometry
Jih-Hsin Cheng, Jenn-Fang Hwang, Andrea Malchiodi, Paul Yang (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We consider surfaces immersed in three-dimensional pseudohermitian manifolds. We define the notion of (p-)mean curvature and of the associated (p-)minimal surfaces, extending some concepts previously given for the (flat) Heisenberg group. We interpret the p-mean curvature not only as the tangential sublaplacian of a defining function, but also as the curvature of a characteristic curve, and as a quantity in terms of calibration geometry. As a differential equation, the p-minimal surface...
Mannheim offsets of ruled surfaces.
Orbay, Keziban, Kasap, Emin, Aydemir, İsmail (2009)
Mathematical Problems in Engineering
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Complete classification of surfaces with a canonical principal direction in the Euclidean space 3
Marian Munteanu, Ana Nistor (2011)
Open Mathematics
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In the present paper we classify all surfaces in 3 with a canonical principal direction. Examples of this type of surfaces are constructed. We prove that the only minimal surface with a canonical principal direction in the Euclidean space 3 is the catenoid.
Constructing isothermal curvature line coordinates on surfaces which admit them
Eugenio Aulisa, Magdalena Toda, Zeynep Kose (2013)
Open Mathematics
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Isothermic parameterizations are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization.
A new proof of a theorem of Belov.
Velimirović, Ljubica S. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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