Constant mean curvature surfaces with planar boundary

DOI10.1215/S0012-7094-96-08522-1zbMath0877.53008OpenAlexW2010991187MaRDI QIDQ674637

Rafael López, Sebastían Montiel

Publication date: 2 December 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-96-08522-1

zbMATH Keywords

existenceconstant mean curvature surfacesconvex planar boundary

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)

Related Items (17)

Remarks on the boundary curve of a constant mean curvature topological disc ⋮ Compact translating solitons with non-empty planar boundary ⋮ CMC graphs with planar boundary in \(\mathbb{H}^2\times \mathbb{R}\) ⋮ Existence and topological uniqueness of compact CMC hypersurfaces with boundary in hyperbolic space ⋮ Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map ⋮ A relation between height, area, and volume for compact constant mean curvature surfaces in \(\mathbb M^{2} \times \mathbb R\) ⋮ Constant mean curvature surfaces with boundary on a sphere ⋮ Unnamed Item ⋮ Height estimates for \(H\)-surfaces in the warped product \({\mathbb {M}}\times _{f} {\mathbb {R}}\) ⋮ Liquid drops, soap bubbles and surfaces with constant mean curvature ⋮ WETTING PHENOMENA AND CONSTANT MEAN CURVATURE SURFACES WITH BOUNDARY ⋮ On the existence of space-like constant mean curvature surfaces spanning two circular contours in Minkowski space ⋮ Constant mean curvature graphs on unbounded convex domains ⋮ The translating soliton equation ⋮ Compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski 3-space ⋮ Constant mean curvature surfaces with circular boundary in R³ ⋮ SPACELIKE CAPILLARY SURFACES IN THE LORENTZ–MINKOWSKI SPACE

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