Variational mean curvatures in abstract measure spaces

DOI10.1007/s00526-016-1017-4zbMath1358.49042OpenAlexW2432407601MaRDI QIDQ502217

Umberto Massari, Elisabetta Barozzi

Publication date: 3 January 2017

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

Full work available at URL: https://doi.org/10.1007/s00526-016-1017-4

zbMATH Keywords

measure theorynonlocal fractional perimetersperimeters in Carnot-Caratheodory spacesperimeters on manifoldsvariational mean curvatures

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 (4)

A new functional for the calculus of variations, involving the variational mean curvature of sets in \(\mathbb R^n\) ⋮ The Cheeger problem in abstract measure spaces ⋮ Capacity \& perimeter from \(\alpha\)-Hermite bounded variation ⋮ The logarithmic Sobolev capacity

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