Hypersurfaces with constant mean curvature and prescribed area

DOI10.1007/BF02567956zbMath0945.49030MaRDI QIDQ1353067

Frank Duzaar

Publication date: 3 October 2000

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

Full work available at URL: https://eudml.org/doc/156231

zbMATH Keywords

rectifiable currentsmean curvaturemass constraintmaximizing surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Integral geometry (53C65) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (1)

Regularity results for solutions to the \(c\)-Plateau problem with free boundary having small singular set, and generally in codimension zero

Cites Work

• Unnamed Item
• Large solutions to the volume constrained Plateau problem
• Area minimizing hypersurfaces with prescribed volume and boundary
• Boundary regularity for minimizing currents with prescribed mean curvature
• A general existence theorem for surfaces of constant mean curvature
• On the first variation of a varifold
• Flächen konstanter mittlerer Krümmung mit vorgegebenem Volumen oder Flächeninhalt

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