Dimensional estimates for singular sets in geometric variational problems with free boundaries

DOI10.1515/CRELLE-2014-0100zbMath1366.49057arXiv1407.4834OpenAlexW2963700743MaRDI QIDQ521675

Francesco Maggi, Guido De Philippis

Publication date: 11 April 2017

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4834

zbMATH Keywords

geometric variational problemsisoperimetric problemsfree boundarysingular setcapillarity type problems

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Free boundary problems for PDEs (35R35)

Related Items (5)

Minimizing cones for fractional capillarity problems ⋮ On the shape of capillarity droplets in a container ⋮ Alexandrov's theorem for anisotropic capillary hypersurfaces in the half-space ⋮ Plateau's Problem as a Singular Limit of Capillarity Problems ⋮ Stable anisotropic minimal hypersurfaces in

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal regularity for codimension one minimal surfaces with a free boundary
• Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals
• On the connectivity of boundaries of sets minimizing perimeter subject to a volume constraint
• The cone over the Clifford torus in \(R^ 4\) is \(\Phi\)-minimizing
• Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law
• Sets of Finite Perimeter and Geometric Variational Problems

This page was built for publication: Dimensional estimates for singular sets in geometric variational problems with free boundaries