On the extremals of the Pólya-Szegő inequality

The distance of an extremal of the Pólya-Szegő inequality from a translate of its symmetric decreasing rearrangement is controlled by the measure of the set of critical points.

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Bibliographic Details
Published in:arXiv.org 2014-07
Main Authors: Burchard, Almut, Ferone, Adele
Format: Article
Language:English
Subjects:
Critical point
Online Access:Get full text
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Description
Summary:The distance of an extremal of the Pólya-Szegő inequality from a translate of its symmetric decreasing rearrangement is controlled by the measure of the set of critical points.
ISSN:2331-8422
DOI:10.48550/arxiv.1407.6567