Sharp Sobolev inequalities with lower order remainder terms
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- by Olivier Druet, Emmanuel Hebey and Michel Vaugon PDF
- Trans. Amer. Math. Soc. 353 (2001), 269-289 Request permission
Abstract:
Given a smooth compact Riemannian $n$-manifold $(M,g)$, this paper deals with the sharp Sobolev inequality corresponding to the embedding of $H_1^2(M)$ in $L^{2n/(n-2)}(M)$ where the $L^2$ remainder term is replaced by a lower order term.References
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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
- Received by editor(s): June 15, 1999
- Published electronically: September 15, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 269-289
- MSC (2000): Primary 58E35
- DOI: https://doi.org/10.1090/S0002-9947-00-02698-2
- MathSciNet review: 1783789