On the best Sobolev inequality

被引：55
作者：
Aubin, T
Li, YY
机构：
[1] Univ Paris 06, Dept Math, F-75252 Paris 05, France
[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 1999年 / 78卷 / 04期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/S0021-7824(99)00012-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the best constant in the Sobolev inequality (W-1,W-p subset of L-p* with 1/p* = 1/p - 1/n and 1 < p < n) is achieved on compact Riemannian manifolds, or only complete under some hypotheses. We also establish stronger inequalities where the norms are to some exponent which seems optimal. (C) Elsevier, Paris.
引用
收藏
页码：353 / 387
页数：35
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