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Sobolev Spaces on Riemannian Manifolds
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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
Links to Related Works
Subject References:
Abstract Harmonic Analysis
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Differential Geometry
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Harmonic analysis
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Mathematics
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Authors:
Hebey, Emmanuel, 1964-
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Hebey, Emmanuel, 1964-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
516.36
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