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[Lecture Notes in Mathematics] Sobolev Spaces on Riemannian Manifolds Volume 1635 || Sobolev spaces in the presence of symmetries

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Book ID: 126529833
Publisher: Springer Berlin Heidelberg
Year: 1996
Tongue: German
Weight: 576 KB
Edition: 1996
Category: Article
ISBN: 3540617221
DOI: 10.1007/BFb0092912

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✦ Synopsis

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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