Boundary regularity for minimizing currents with prescribed mean curvature

DOI10.1007/BF01206958zbMath0806.49028MaRDI QIDQ1311341

Klaus Steffen, Frank Duzaar

Publication date: 13 January 1994

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

energy functionalrectifiable currentsboundary regularityprescribed mean curvaturePlateau problemcomplete boundary regularityenergy minimality

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items

Hypersurfaces with constant mean curvature and prescribed area ⋮ \(C^{1,\alpha }\) theory for the prescribed mean curvature equation with Dirichlet data ⋮ Existence and regularity for higher-dimensional \(H\)-systems ⋮ On the thread problem for minimal surfaces ⋮ Boundary regularity for area minimizing currents with prescribed volume ⋮ Boundary regularity for minimizing currents with prescribed mean curvature

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