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Sharp Sobolev inequalities with lower order remainder terms
Author(s):
Olivier
Druet;
Emmanuel
Hebey;
Michel
Vaugon
Journal:
Trans. Amer. Math. Soc.
353
(2001),
269-289.
MSC (2000):
Primary 58E35
Posted:
September 15, 2000
MathSciNet review:
1783789
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Abstract:
Given a smooth compact Riemannian -manifold , this paper deals with the sharp Sobolev inequality corresponding to the embedding of in where the remainder term is replaced by a lower order term.
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Additional Information:
Olivier
Druet
Affiliation:
Université de Cergy-Pontoise, Département de Mathématiques, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France
Email:
Olivier.Druet@math.u-cergy.fr
Emmanuel
Hebey
Affiliation:
Université de Cergy-Pontoise, Département de Mathématiques, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France
Email:
Emmanuel.Hebey@math.u-cergy.fr
Michel
Vaugon
Affiliation:
Université Pierre et Marie Curie, Département de Mathématiques, 4 place Jussieu, 75252 Paris cedex 05, France
Email:
vaugon@math.jussieu.fr
DOI:
10.1090/S0002-9947-00-02698-2
PII:
S 0002-9947(00)02698-2
Received by editor(s):
June 15, 1999
Posted:
September 15, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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