Area-minimizing disks with free boundary and prescribed enclosed volume

DOI10.1515/CRELLE.2008.056zbMath1166.53005OpenAlexW2007359748MaRDI QIDQ3524829

Wolfram Bürger, Ernst Christoph Kuwert

Publication date: 15 September 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2008.056

zbMATH Keywords

volume\(H\)-surfaceminimizing the area

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)

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Cites Work

• The Dirichlet problem with a volume constraint
• Stationary partitioning of convex bodies
• Regularity for stationary surfaces of constant mean curvature with free boundaries
• The existence of surfaces of constant mean curvature with free boundaries
• Density of smooth functions between two manifolds in Sobolev spaces
• Isoperimetric inequalities and the problem of Plateau
• Variational problems with obstacles and a volume constraint
• Stability for hypersurfaces of constant mean curvature with free boundary
• On the regularity of surfaces with prescribed man curvature at a free boundary
• A general existence theorem for surfaces of constant mean curvature
• Regularity of minimizing surfaces of prescribed mean curvature
• The problem of Plateau on a Riemannian manifold

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