Sharp Sobolev inequalities with lower order remainder terms

Citation
O. Druet et al., Sharp Sobolev inequalities with lower order remainder terms, T AM MATH S, 353(1), 2000, pp. 269-289
Citations number
26
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
353
Issue
1
Year of publication
2000
Pages
269 - 289
Database
ISI
SICI code
0002-9947(2000)353:1<269:SSIWLO>2.0.ZU;2-Z
Abstract
Given a smooth compact Riemannian n-manifold (M;g), this paper deals with t he sharp Sobolev inequality corresponding to the embedding of H-1(2) (M) in L2n/(n-2) (M) where the L-2 remainder term is replaced by a lower order te rm.