Area minimizing hypersurfaces with prescribed volume and boundary

DOI10.1007/BF02570855zbMath0787.53056MaRDI QIDQ1204263

Frank Duzaar, Klaus Steffen

Publication date: 3 March 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174383

zbMATH Keywords

constant mean curvaturegeometric measure theoryPlateau problemRellich's conjecture

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (9)

Large isoperimetric regions in asymptotically hyperbolic manifolds ⋮ Clusters minimizing area plus length of singular curves ⋮ Regularity results for solutions to the \(c\)-Plateau problem with free boundary having small singular set, and generally in codimension zero ⋮ Hypersurfaces with constant mean curvature and prescribed area ⋮ Global solutions of partitioning problems^∗ ⋮ Stability diagrams for disconnected capillary surfaces ⋮ Boundary regularity for area minimizing currents with prescribed volume ⋮ Boundary regularity for minimizing currents with prescribed mean curvature ⋮ \(\lambda\) minimizing currents

Cites Work

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