Sobolev spaces on Riemannian manifolds
Author(s)
Bibliographic Information
Sobolev spaces on Riemannian manifolds
(Lecture notes in mathematics, 1635)
Springer, c1996
Available at / 93 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1635RM961012
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
515.782/H3542070380991
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Note
Includes bibliographical references (p. [106]-113), and notation and subject indexes
Description and Table of Contents
Description
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.
Table of Contents
Geometric preliminaries.- Sobolev spaces.- Sobolev embeddings.- The best constants problems.- Sobolev spaces in the presence of symmetries.
by "Nielsen BookData"