Comptes Rendus
no. 6
A sharp Sobolev inequality on Riemannian manifolds
[Une inégalité de Sobolev optimale sur les varietés riemanniennes]
Yan Yan Li1 ; Tonia Ricciardi2
1 Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ 08854-8019, USA
2 Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, 80126 Napoli, Italy
Comptes Rendus. Mathématique, Volume 335 (2002) no. 6, pp. 519-524.

On présente des inégalités de Sobolev optimales sur les variétés riemanniennes. Ces inégalités contiennent un terme de courbure scalaire. Les démonstrations détaillées sont contenues dans [11].

We outline our results in [11] concerning some sharp Sobolev inequalities on Riemannian manifolds. Our inequalities emphasize the role of scalar curvature in this context.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)02529-3
Yan Yan Li 1 ; Tonia Ricciardi 2

1 Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ 08854-8019, USA
2 Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, 80126 Napoli, Italy 
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Yan Yan Li; Tonia Ricciardi. A sharp Sobolev inequality on Riemannian manifolds. Comptes Rendus. Mathématique, Volume 335 (2002) no. 6, pp. 519-524. doi : 10.1016/S1631-073X(02)02529-3. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02529-3/

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