Some existence results about radial graphs of constant mean curvature with boundary in parallel planes

DOI10.1007/S10455-008-9119-7zbMath1158.53005OpenAlexW2066917680MaRDI QIDQ960016

Pedro Fusieger, Ari J. Aiolfi

Publication date: 16 December 2008

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9119-7

zbMATH Keywords

constant mean curvatureradial graphsdoubly connected surfaces

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)

Compact minimal vertical graphs with non-connected boundary in \(\mathbb{H}^{n}\times\mathbb{R}\)

Cites Work

• On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes
• Minimal surfaces bounded by convex curves in parallel planes
• Constant mean curvature surfaces in a half-space of \(\mathbb{R}^ 3\) with boundary in the boundary of the half-space
• Some existence and nonexistence theorems for compact graphs of constant mean curvature with boundary in parallel planes.
• Radial graphs of constant mean curvature and doubly connected minimal surfaces with prescribed boundary
• A note on doubly connected surfaces of constant mean curvature with prescribed boundary

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