EUDML

Currently displaying 1 – 8 of 8

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A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space

Ricardo Sa Earp; Eric Toubiana

Séminaire de théorie spectrale et géométrie

On values of the Gauss map of complete minimal surfaces in R3.

Harold Rosenberg; Ricardo Sa Earp — 1988

Commentarii mathematici Helvetici

Variants on Alexandrov reflection principle and other applications of maximum principle

Ricardo Sa Earp; Eric Toubiana

Séminaire de théorie spectrale et géométrie

Minimal Graphs in $ℍ^{n} \times ℝ$ and $ℝ^{n + 1}$

Ricardo Sà Earp; Eric Toubiana — 2010

Annales de l’institut Fourier

We construct geometric barriers for minimal graphs in $ℍ^{n} \times ℝ .$ We prove the existence and uniqueness of a solution of the vertical minimal equation in the interior of a convex polyhedron in $ℍ^{n}$ extending continuously to the interior of each face, taking infinite boundary data on one face and zero boundary value data on the other faces. In $ℍ^{n} \times ℝ$ , we solve the Dirichlet problem for the vertical minimal equation in a $C^{0}$ convex domain $Ω \subset ℍ^{n}$ taking arbitrarily continuous finite boundary...