Minimal rearrangements of Sobolev functions: A new proof.
type: Item
instance of: scholarly article
title: Minimal rearrangements of Sobolev functions: A new proof.
zbMATH Open document ID: 1038.49039
DOI: 10.1016/S0294-1449(02)00012-4
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2003-05-19T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78581
review text: The authors give a new and elegant proof of Pólya-Szegő type inequalities for functions \(u\in W^{1,p}_0(\Omega)\) and their Schwarz-symmetrizations or radially symmetric rearrangements \(u^*\). They discuss in particular the case of equality in such inequalities and give an alternative proof of the well-known result of Brother and Ziemer.
Mathematics Subject Classification ID: 49Q15
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1912454
zbMATH Keywords: polar factorization
zbMATH Keywords: rearrangements
zbMATH Keywords: Pólya-Szegő type inequalities
author: Adele Ferone
author: Roberta Volpicelli
MaRDI profile type: Publication
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OpenAlex ID: W2026682797
description: scientific article; zbMATH DE number 1912454