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Sobolev Spaces on Riemannian Manifolds (Lecture Notes in Mathematics) [Paperback]

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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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Item Specifications...

Pages   116
Est. Packaging Dimensions:   Length: 0.5" Width: 6.25" Height: 9.5"
Weight:   0.45 lbs.
Binding  Softcover
Release Date   Oct 2, 1996
Publisher   Springer
ISBN  3540617221  
ISBN13  9783540617228  

Availability  0 units.

More About Emmanuel Hebey

Register your artisan biography and upload your photo! 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.

Emmanuel Hebey was born in 1964.

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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Calculus
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry
7Books > Subjects > Science > Mathematics > Mathematical Analysis
8Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus

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.

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