On the isoperimetric problem in Euclidean space with density
type: Item
instance of: scholarly article
title: On the isoperimetric problem in Euclidean space with density
zbMATH Open document ID: 1126.49038
author: Antonio Cañete
author: Vincent Bayle
author: Frank Morgan
author: César Rosales
published in: Calculus of Variations and Partial Differential Equations
publication date: 2007-11-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0602135
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 53C17
Mathematics Subject Classification ID: 49N60
zbMATH DE Number: 5215537
zbMATH Keywords: Manifolds with density
zbMATH Keywords: Isoperimetric problem
zbMATH Keywords: Generalized mean curvature
zbMATH Keywords: Stability
zbMATH Keywords: Symmetrization
MaRDI profile type: Publication
OpenAlex ID: W2031551418
arXiv ID: math/0602135
cites work: Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
cites work: Log-concave and spherical models in isoperimetry
cites work: Some remarks on isoperimetry of Gaussian type
cites work: Extremal properties of half-spaces for log-concave distributions
cites work: An isoperimetric inequality on the discrete cube and an elementary proof of the isoperimetric inequality in Gauss space
cites work: Some connections between isoperimetric and Sobolev-type inequalities
cites work: Q3746620
cites work: On the cases of equality in Bobkov's inequality and Gaussian rearrangement
cites work: Q3344779
cites work: Isoperimetric inequalities. Differential geometric and analytic perspectives
cites work: Symétrisation dans l'espace de Gauss.
cites work: Éléments extrémaux pour les inégalités de Brunn-Minkowski gaussiennes (Extreme elements for the Gaussian Brunn-Minkowski inequalities)
cites work: Random walk in random groups.
cites work: Clusters minimizing area plus length of singular curves
cites work: Q4510212
cites work: Regularity of isoperimetric hypersurfaces in Riemannian manifolds
cites work: Q5312205
cites work: Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones
cites work: Q5486600
cites work: Q4271943
cites work: Q3336268
cites work: Extremal properties of half-spaces for spherically invariant measures
DOI: 10.1007/S00526-007-0104-Y
description: scientific article