The isoperimetric inequality for a minimal surface with radially connected boundary
Jaigyoung Choe (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “On the isoperimetric inequality for minimal surfaces”
The isoperimetric inequality for a minimal surface with radially connected boundary
Complete minimal surfaces in R.
Francisco J. López, Francisco Martín (1999)
Publicacions Matemàtiques
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In this paper we review some topics on the theory of complete minimal surfaces in three dimensional Euclidean space.
Existence results for embedded minimal surfaces of controlled topological type, II
Jürgen Jost (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Curvature estimates for minimal surfaces in -manifolds
Michael T. Anderson (1985)
Annales scientifiques de l'École Normale Supérieure
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Complete minimal surfaces of arbitrary genus in a slab of
Celso J. Costa, Plinio A. Q. Simöes (1996)
Annales de l'institut Fourier
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In this paper we construct complete minimal surfaces of arbitrary genus in with one, two, three and four ends respectively. Furthermore the surfaces lie between two parallel planes of .
Linearization and explicit solutions of the minimal surface equations.
Alexander G. Reznikov (1992)
Publicacions Matemàtiques
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We show that the apparatus of support functions, usually used in convex surfaces theory, leads to the linear equation Δh + 2h = 0 describing locally germs of minimal surfaces. Here Δ is the Laplace-Beltrami operator on the standard two-dimensional sphere. It explains the existence of the sum operator of minimal surfaces, introduced recently. In 4-dimensional space the equation Δ h + 2h = 0 becomes inequality wherever the Gauss curvature of a minimal hypersurface is nonzero.