On the existence of integral currents with prescribed mean curvature vector

DOI10.1007/BF02568422zbMath0703.49035OpenAlexW2045421246MaRDI QIDQ916078

Frank Duzaar, Fuchs, Martin

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/155489

zbMATH Keywords

isoperimetric inequalityprescribed mean curvatureintegral m-currentstationary varifolds

Mathematics Subject Classification ID

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

On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions, Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals, The isoperimetric problem in higher codimension, Stability of submanifolds with parallel mean curvature in calibrated manifolds, Hypersurfaces of prescribed mean curvature enclosing a given body, Existence and regularity for higher-dimensional \(H\)-systems, Area minimizing hypersurfaces with prescribed volume and boundary, Effective versions of the positive mass theorem, Boundary regularity for minimizing currents with prescribed mean curvature, Plateau's Problem as a Singular Limit of Capillarity Problems, \(\lambda\) minimizing currents

Cites Work

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