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
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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.
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页码:57 / 93
页数:37
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