Comptes Rendus
no. 6
A sharp Sobolev inequality on Riemannian manifolds
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.

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.

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].

Received:
Accepted:
Published online:
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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