Complete minimal graphs with prescribed asymptotic boundary on rotationally symmetric Hadamard surfaces

DOI10.1007/s10711-012-9706-4zbMath1254.53014arXiv1503.08083OpenAlexW2114208801MaRDI QIDQ691072

Miriam Telichevesky, Jaime Bruck Ripoll

Publication date: 29 November 2012

Published in: Geometriae Dedicata, Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08083

zbMATH Keywords

hyperbolic spaceasymptotic Plateau problemCMC hypersurfacesminimal graphsrotationally symmetric Hadamard surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (11)

The area minimizing problem in conformal cones. II ⋮ Embedded 𝐻-planes in hyperbolic 3-space ⋮ Recent rigidity results for graphs with prescribed mean curvature ⋮ Complete minimal discs in Hadamard manifolds ⋮ Asymptotic Dirichlet problems in warped products ⋮ On the geometry of the Heisenberg group with a balanced metric ⋮ Existence and non-existence of minimal graphic and p-harmonic functions ⋮ Asymptotic Plateau problem for prescribed mean curvature hypersurfaces ⋮ Survey on the asymptotic Dirichlet problem for the minimal surface equation ⋮ Regularity at infinity of Hadamard manifolds with respect to some elliptic operators and applications to asymptotic Dirichlet problems ⋮ The Dirichlet problem for the mimimal hypersurface equation with Lipschitz continuous boundary data in a Riemannian manifold

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