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

Della Pietra, Francesco1 ; Gavitone, Nunzia1 ; Piscitelli, Gianpaolo1
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, Tome 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
Della Pietra, Francesco 1 ; Gavitone, Nunzia 1 ; Piscitelli, Gianpaolo 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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Della Pietra, Francesco; Gavitone, Nunzia; Piscitelli, Gianpaolo. A sharp weighted anisotropic Poincaré inequality for convex domains. Comptes Rendus. Mathématique, Tome 355 (2017) no. 7, pp. 748-752. doi : 10.1016/j.crma.2017.06.005. http://www.numdam.org/articles/10.1016/j.crma.2017.06.005/

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