Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones
type: Item
instance of: scholarly article
title: Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones
zbMATH Open document ID: 1057.53023
DOI: 10.1090/S0002-9947-04-03537-8
author: Manuel Ritoré
author: César Rosales
published in: Transactions of the American Mathematical Society
publication date: 2004-08-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0307217
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 49Q20
zbMATH DE Number: 2091257
zbMATH Keywords: isoperimetric regions
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: Euclidean cone
zbMATH Keywords: volume with the least possible perimeter
zbMATH Keywords: Hausdorff measure
zbMATH Keywords: minimizing sequences
zbMATH Keywords: regularly stable regions with small singular set in a convex cone
zbMATH Keywords: hypersurfaces
zbMATH Keywords: constant mean curvature
MaRDI profile type: Publication
arXiv ID: math/0307217
cites work: Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
cites work: Stability of hypersurfaces with constant mean curvature
cites work: Inégalités isopérimétriques et applications
cites work: Q4039749
cites work: Q3344779
cites work: Q3334514
cites work: Q3946697
cites work: Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
cites work: Boundary regularity for solutions of a partitioning problem
cites work: Optimal regularity for codimension one minimal surfaces with a free boundary
cites work: Q4722728
cites work: Isoperimetric Inequalities for Convex Cones
cites work: Regularity of isoperimetric hypersurfaces in Riemannian manifolds
cites work: Q4379863
cites work: Q4510212
cites work: Some sharp isoperimetric theorems for Riemannian manifolds
cites work: Isoperimetric regions in cones
cites work: Constant geodesic curvature curves and isoperimetric domains in rotationally symmetric surfaces
cites work: The isoperimetric problem in complete surfaces of nonnegative curvature.
cites work: Stability for hypersurfaces of constant mean curvature with free boundary
cites work: Isoperimetric regions in rotationally symmetric convex bodies
cites work: Q3336268
cites work: Q4214068
cites work: On the connectivity of boundaries of sets minimizing perimeter subject to a volume constraint
cites work: Area minimizing sets subject to a volume constraint in a convex set
cites work: A note on the stability theorem of J. L. Barbosa and M. do Carmo for closed surfaces of constant mean curvature
cites work: Q3253193
cites work: Weakly Differentiable Functions
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description: scientific article; zbMATH DE number 2091257