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Sobolev Spaces on Riemannian Manifolds [electronic resource] / by Emmanuel Hebey.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1635Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1996Description: XII, 120 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540699934
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 516.36 23
LOC classification:
  • QA641-670
Online resources:
Contents:
Geometric preliminaries -- Sobolev spaces -- Sobolev embeddings -- The best constants problems -- Sobolev spaces in the presence of symmetries.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK1843

Geometric preliminaries -- Sobolev spaces -- Sobolev embeddings -- The best constants problems -- Sobolev spaces in the presence of symmetries.

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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The Institute of Mathematical Sciences, Chennai, India