Existence and uniqueness of CMC parabolic graphs in \(\mathbb H^3\) with boundary data satisfying the bounded slope condition

DOI10.1016/J.DIFGEO.2009.03.012zbMath1197.53072OpenAlexW1984795543WikidataQ115357259 ScholiaQ115357259MaRDI QIDQ1038521

C. V. Mathias, Ari J. Aiolfi

Publication date: 18 November 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2009.03.012

zbMATH Keywords

hyperbolic spaceconstant mean curvatureparabolic graphs

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

Uniform a priori estimates for a class of horizontal minimal equations

Cites Work

• Unnamed Item
• Some properties of hypersurfaces of prescribed mean curvature in \(H^{n+1}\)
• Prescribed mean curvature hypersurfaces in \(H^{n+1}(-1)\) with convex planar boundary. I
• Some existence results and gradient estimates of solutions of the Dirichlet problem for the constant mean curvature equation in convex domains
• On the bounded slope condition
• An extension of a theorem of Serrin to graphs in warped products
• Existence and non-existence for a mean curvature equation in hyperbolic space
• Graphs of constant mean curvature in hyperbolic space

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