BEST CONSTANTS IN THE SOBOLEV IMBEDDING THEOREM

被引：0

作者：

HEBEY, E

VAUGON, M

机构：

[1] UNIV CERGY PONTOISE,DEPT MATH,F-95033 CERGY,FRANCE

[2] UNIV PARIS 06,DEPT MATH,F-75252 PARIS 05,FRANCE

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1994年 / 318卷 / 07期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1976, Aubin stated the following conjecture: for any compact Riemannian manifold of dimension N greater-than-or-equal-to 3, the best constant corresponding to the imbedding of H-1(2) in L2N/(N-2) is reached. We prove that the conjecture is true.

引用

页码：675 / 677

页数：3

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