On the generalized mean curvature

DOI10.1007/S00526-010-0321-7zbMath1207.49052OpenAlexW1966040337MaRDI QIDQ607796

Umberto Massari, Elisabetta Barozzi, Eduardo H. A. Gonzalez

Publication date: 3 December 2010

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

Full work available at URL: https://doi.org/10.1007/s00526-010-0321-7

zbMATH Keywords

mean curvatureLipschitz continuity\(C^2\) graphspolyhedral graphsvector Radon measure

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)

Related Items (3)

Minimizing movements for mean curvature flow of droplets with prescribed contact angle ⋮ Potential theory on minimal hypersurfaces. II: Hardy structures and Schrödinger operators ⋮ The variational cost of the change of direction in a planar curve and application to regularity of 2-dimensional sets

Uses Software

• PISA

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• Boundaries of prescribed mean curvature
• The curvature of a set with finite area
• On the Dirichlet problem for surfaces of prescribed mean curvature
• On the first variation of a varifold
• The mean curvature of a Lipschitz continuous manifold
• The mean curvature of a set of finite perimeter

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