On sets with variational mean curvature in \(L^n(\mathbb{R}^n)\)

DOI10.1007/s11565-013-0179-7zbMath1301.49120OpenAlexW2091126457MaRDI QIDQ467136

Umberto Massari, Elisabetta Barozzi

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-013-0179-7

zbMATH Keywords

minimal surfacescalculus of variationsgeometric measure theoryvariational mean curvature

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 (2)

Geometric properties of solutions to the total variation denoising problem ⋮ The variational cost of the change of direction in a planar curve and application to regularity of 2-dimensional sets

Cites Work

• Esistenza e regolarita delle ipersuperfici di curvatura media assegnata in \(R^n\)
• Frontiere orientate di curvatura media assegnata in \(L^p\)
• Regularity for minimal boundaries in \(\mathbb{R}^n\) with mean curvature in \(L^n\)
• Boundaries of prescribed mean curvature
• The curvature of a set with finite area
• Partial regularity for quasi minimizers of perimeter
• Penalty methods for minimal surfaces with obstacles
• Harnack's inequality for elliptic differential equations on minimal surfaces
• The mean curvature of a set of finite perimeter
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