Sobolev and isoperimetric inequalities with monomial weights
type: Item
instance of: scholarly article
title: Sobolev and isoperimetric inequalities with monomial weights
zbMATH Open document ID: 1293.46018
author: Xavier Cabré
author: Xavier Ros-Oton
published in: Journal of Differential Equations
publication date: 2014-02-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1210.4487
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 6257696
zbMATH Keywords: weighted Sobolev inequality
zbMATH Keywords: isoperimetric inequalities with a density
zbMATH Keywords: monomial weight
zbMATH Keywords: axial symmetries
MaRDI profile type: Publication
OpenAlex ID: W2962825009
arXiv ID: 1210.4487
cites work: Elliptic PDE's in probability and geometry: Symmetry and regularity of solutions
cites work: Regularity of Stable Solutions up to Dimension 7 in Domains of Double Revolution
cites work: Euclidean balls solve some isoperimetric problems with nonradial weights
cites work: Sharp isoperimetric inequalities via the ABP method
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Alcuni teoremi di immersione per spazi con peso
cites work: Q5473394
cites work: Q4399897
cites work: The local regularity of solutions of degenerate elliptic equations
cites work: Q4040640
cites work: Isoperimetric inequalities for Riemannian products
cites work: Sobolev spaces on an arbitrary metric space
cites work: Weighted Sobolev-type embedding theorems for functions with symmetries
cites work: Sharp estimates for solutions to a certain type of singular elliptic boundary value problems in two dimensions
cites work: Q5312205
cites work: Isoperimetric estimates in products
cites work: Q4237665
cites work: Best constant in Sobolev inequality
cites work: Generalized axially symmetric potential theory
DOI: 10.1016/J.JDE.2013.08.010
description: scientific article