Item description for Sobolev Spaces on Riemannian Manifolds (Lecture Notes in Mathematics) by Emmanuel Hebey...
Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years. The book of Emmanuel Hebey will fill this gap, and become a necessary reading for all using Sobolev spaces on Riemannian manifolds.Hebey's presentation is very detailed, and includes the most recent developments due mainly to the author himself and to Hebey-Vaugon. He makes numerous things more precise, and discusses the hypotheses to test whether they can be weakened, and also presents new results.
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Est. Packaging Dimensions: Length: 0.5" Width: 6.25" Height: 9.5" Weight: 0.45 lbs.
Release Date Oct 2, 1996
ISBN 3540617221 ISBN13 9783540617228
Availability 0 units.
More About Emmanuel Hebey
Olivier Druet is Researcher at CNRS, Ecole Normale Superieure de Lyon. Emmanuel Hebey is Professor at Universite de Cergy-Pontoise. Frederic Robert is Associate Professor at Universite de Nice Sophia-Antipolis.
Reviews - What do customers think about Sobolev Spaces on Riemannian Manifolds (Lecture Notes in Mathematics)?
buy Hebey's newer book instead Apr 13, 2007
At the time that this book was written, it may have filled an important gap in the literature in that it dealt with Sobolov spaces on general Riemannian manifolds (even noncompact ones) as opposed to the usual treatments in euclidean space. However, since that time, there have been other, better books on the subject, most notably, Hebey's own Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities (Courant Lecture Notes) (Courant Lecture Notes), published in 2000 by the AMS. The latter book includes the entire contents of this one (with many of the same chapter titles) plus a lot more, such as the Nirenberg problem, Nash's inequality, and manifolds with boundaries. In fact, the newer book has more than twice as many pages, and is a much, much nicer printing as well. I can't think of any reason to buy this Springer version, unless it was dramatically cheaper, which it's not; in fact, the AMS book is slightly cheaper now. The only reason why I gave it 2 stars is because the book really isn't that bad in itself - 10 years ago I would've rated it higher.