Parametric surfaces of least \(H\)-energy in a Riemannian manifold

DOI10.1007/S002080050292zbMath0953.53007OpenAlexW2082674408WikidataQ115388966 ScholiaQ115388966MaRDI QIDQ1298171

Frank Duzaar, Klaus Steffen

Publication date: 22 January 2001

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

Full work available at URL: https://doi.org/10.1007/s002080050292

zbMATH Keywords

Sobolev spaceRiemannian manifoldisoperimetric inequalitymean curvaturePlateau problem

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)

Related Items (4)

Existence and regularity for higher-dimensional \(H\)-systems ⋮ The evolution of \(H\)-surfaces with a Plateau boundary condition ⋮ On the regularity of H-surfaces with free boundaries on a smooth support manifold ⋮ Weak solutions to the heat flow for surfaces of prescribed mean curvature

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