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Sobolev Spaces on Riemannian Manifolds

Sobolev Spaces on Riemannian Manifolds
Catalogue Information
Field name Details
Dewey Class 516.36
Title Sobolev Spaces on Riemannian Manifolds ([EBook]) / by Emmanuel Hebey.
Author Hebey, Emmanuel, , 1964-
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 1996.
Physical Details XII, 120 pages : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1635
ISBN 9783540699934
Summary Note 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.:
Contents note Geometric preliminaries -- Sobolev spaces -- Sobolev embeddings -- The best constants problems -- Sobolev spaces in the presence of symmetries.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0092907
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