[Une inégalité de Sobolev optimale sur les varietés riemanniennes]
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.
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@article{CRMATH_2002__335_6_519_0,
author = {Li, Yan Yan and Ricciardi, Tonia},
title = {A sharp {Sobolev} inequality on {Riemannian} manifolds},
journal = {Comptes Rendus. Math\'ematique},
pages = {519--524},
publisher = {Elsevier},
volume = {335},
number = {6},
year = {2002},
doi = {10.1016/S1631-073X(02)02529-3},
language = {en},
url = {http://www.numdam.org/articles/10.1016/S1631-073X(02)02529-3/}
}
TY - JOUR AU - Li, Yan Yan AU - Ricciardi, Tonia TI - A sharp Sobolev inequality on Riemannian manifolds JO - Comptes Rendus. Mathématique PY - 2002 SP - 519 EP - 524 VL - 335 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S1631-073X(02)02529-3/ DO - 10.1016/S1631-073X(02)02529-3 LA - en ID - CRMATH_2002__335_6_519_0 ER -
%0 Journal Article %A Li, Yan Yan %A Ricciardi, Tonia %T A sharp Sobolev inequality on Riemannian manifolds %J Comptes Rendus. Mathématique %D 2002 %P 519-524 %V 335 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/S1631-073X(02)02529-3/ %R 10.1016/S1631-073X(02)02529-3 %G en %F CRMATH_2002__335_6_519_0
Li, Yan Yan; Ricciardi, Tonia. A sharp Sobolev inequality on Riemannian manifolds. Comptes Rendus. Mathématique, Tome 335 (2002) no. 6, pp. 519-524. doi : 10.1016/S1631-073X(02)02529-3. http://www.numdam.org/articles/10.1016/S1631-073X(02)02529-3/
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