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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 1-3: In Memory of Carlo Pucci. Guest Editors: Rolando Magnanini and Giorgio Talenti
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Original Articles

Minimal rearrangements, strict convexity and critical points

Andrea Cianchi Dipartimento di Matematica e Applicazioni per l’Architettura, Università di Firenze, Piazza Ghiberti 27, 50122 Firenze, ItalyCorrespondence[email protected]
&
Nicola Fusco Dipartimento di Matematica e Applicazioni, Università di Napoli, Via Cintia, 80126 Napoli, Italy
Pages 67-85 | Received 05 May 2004, Accepted 11 Sep 2004, Published online: 25 Jan 2007
 
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Abstract

An asymmetry estimate for extremal functions in Pólya–Szegö type inequalities for Dirichlet integrals is established in presence of critical points and nonstrictly convex integrands.

Acknowledgement

We wish to thank the referee for carefully reading the manuscript and for his/her helpful suggestions.

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