Best constants in the Sobolev imbedding theorem

被引：0
作者：
Hebrey, 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：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1996年 / 13卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 in L(2N/(N-2)) is attained. We prove that the conjecture is true.
引用
收藏
页码：57 / 93
页数：37
相关论文
共 26 条
[1]  
ADAMS RA, 1978, PURE APPLIED MATH, V65
[2]  
AUBIN T, 1976, J MATH PURE APPL, V55, P269
[3]  
AUBIN T, 1982, GRUNDLEHERN MATH WIS, V252
[4]  
Aubin T., 1976, J. Di ff erential Geom., V11, P573
[5]  
BESSE AL, 1987, EINSTEIN MANIFOLDS, V0010
[6]  
BREZIS H, 1986, COMMUN PUR APPL MATH, V39, P17
[7]   ASYMPTOTIC SYMMETRY AND LOCAL BEHAVIOR OF SEMILINEAR ELLIPTIC-EQUATIONS WITH CRITICAL SOBOLEV GROWTH [J].
CAFFARELLI, LA ;
GIDAS, B ;
SPRUCK, J .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1989, 42 (03) :271-297
[8]  
CHERRIER P, 1984, B SCI MATH, V108, P225
[9]  
GHALLOT S, 1988, ASTERISQUES, P163
[10]   SYMMETRY AND RELATED PROPERTIES VIA THE MAXIMUM PRINCIPLE [J].
GIDAS, B ;
NI, WM ;
NIRENBERG, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 68 (03) :209-243
123