A note on radial graphs with constant mean curvature

DOI10.1007/s00229-002-0302-zzbMath1030.53010OpenAlexW2102402256MaRDI QIDQ1865662

Rafael López

Publication date: 27 March 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-002-0302-z

zbMATH Keywords

maximum principle\(C^1\) estimatesa priori \(C^0\) estimatesposition's gradient

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (8)

Existence of nonradial domains for overdetermined and isoperimetric problems in nonconvex cones ⋮ Radial graphs over domains of \(\mathbb S^n\) with prescribed mean curvature ⋮ Capillary surfaces in a cone ⋮ Constant mean curvature surfaces with boundary on a sphere ⋮ The area minimizing problem in conformal cones. I ⋮ WETTING PHENOMENA AND CONSTANT MEAN CURVATURE SURFACES WITH BOUNDARY ⋮ Conformal Killing graphs with prescribed mean curvature ⋮ Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space

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