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  • © 1996

Sobolev Spaces on Riemannian Manifolds

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1635)

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  • ISBN: 978-3-540-69993-4
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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
  2. Geometric preliminaries

    • Emmanuel Hebey
    Pages 1-9
  3. Sobolev spaces

    • Emmanuel Hebey
    Pages 10-16
  4. Sobolev embeddings

    • Emmanuel Hebey
    Pages 17-57
  5. The best constants problems

    • Emmanuel Hebey
    Pages 58-89
  6. Sobolev spaces in the presence of symmetries

    • Emmanuel Hebey
    Pages 90-105
  7. Back Matter

    Pages 106-116

About this book

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.

Keywords

  • Sobolev space
  • differential geometry
  • manifold
  • riemannian manifolds
  • sobolev spaces

Bibliographic Information

  • Book Title: Sobolev Spaces on Riemannian Manifolds

  • Authors: Emmanuel Hebey

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0092907

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-61722-8

  • eBook ISBN: 978-3-540-69993-4

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 120

  • Topics: Differential Geometry, Abstract Harmonic Analysis

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-69993-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 37.99
Price excludes VAT (USA)