A new functional for the calculus of variations, involving the variational mean curvature of sets in \(\mathbb R^n\)

DOI10.1007/s00229-017-0985-9zbMath1398.49041OpenAlexW2766979883MaRDI QIDQ1673751

Elisabetta Barozzi, Umberto Massari

Publication date: 14 September 2018

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

Full work available at URL: https://doi.org/10.1007/s00229-017-0985-9

zbMATH Keywords

compactnesssemicontinuityvariational mean curvature of sets

Mathematics Subject Classification ID

Variational inequalities (49J40) 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) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (1)

The optimal Hölder exponent in Massari's regularity theorem

Cites Work

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• Variational mean curvatures in abstract measure spaces
• Esistenza e regolarita delle ipersuperfici di curvatura media assegnata in \(R^n\)
• Il problema della capillarita su domini non regolari
• The curvature of a set with finite area
• Willmore surfaces
• Un principio di massimo forte per le frontiere minimali e una sua applicazione alla risoluzione del problema al contorno per l'equazione delle superfici di area minima
• Sets of Finite Perimeter and Geometric Variational Problems
• The mean curvature of a set of finite perimeter

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