On the isoperimetric inequality for minimal surfaces
Peter Li, Richard Schoen, Shing-Tung Yau (1984)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “The isoperimetric inequality for a minimal surface with radially connected boundary”
On the isoperimetric inequality for minimal surfaces
Existence results for embedded minimal surfaces of controlled topological type, I
Jürgen Jost (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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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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.
On embedded minimal disks in convex bodies
M. Grüter, J. Jost (1986)
Annales de l'I.H.P. Analyse non linéaire
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