Comptes Rendus
no. 7
Mathematical analysis/Partial differential equations
A sharp weighted anisotropic Poincaré inequality for convex domains
[Une inégalité de Poincaré anisotrope pondérée pour les domaines convexes]

Présenté par : Haïm Brézis

Francesco Della Pietra1 ; Nunzia Gavitone1 ; Gianpaolo Piscitelli1
1 Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli Federico II, Complesso Monte S. Angelo, via Cintia, 80126 Napoli, Italy
Comptes Rendus. Mathématique, Volume 355 (2017) no. 7, pp. 748-752.

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

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

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.06.005

Francesco Della Pietra 1 ; Nunzia Gavitone 1 ; Gianpaolo Piscitelli 1

1 Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli Federico II, Complesso Monte S. Angelo, via Cintia, 80126 Napoli, Italy 
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Francesco Della Pietra; Nunzia Gavitone; Gianpaolo Piscitelli. A sharp weighted anisotropic Poincaré inequality for convex domains. Comptes Rendus. Mathématique, Volume 355 (2017) no. 7, pp. 748-752. doi : 10.1016/j.crma.2017.06.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.06.005/

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