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Comptes Rendus Mathématique
Volume 355, n° 7
pages 748-752 (juillet 2017)
Doi : 10.1016/j.crma.2017.06.005
Received : 9 April 2017 ;  accepted : 7 June 2017
A sharp weighted anisotropic Poincaré inequality for convex domains
Une inégalité de Poincaré anisotrope pondérée pour les domaines convexes
 

Francesco Della Pietra , Nunzia Gavitone , Gianpaolo Piscitelli
 Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli Federico II, Complesso Monte S. Angelo, via Cintia, 80126 Napoli, Italy 

Abstract

We prove an optimal lower bound for the best constant in a class of weighted anisotropic Poincaré inequalities.

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Résumé

Nous prouvons une limite inférieure optimale pour la meilleure constante dans une classe d'inégalités de Poincaré anisotropes pondérées.

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