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Sobolev Spaces on Riemannian Manifolds

  • Book
  • © 1996

Overview

Authors:
  1. Emmanuel Hebey
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1635)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
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  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
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Keywords

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.

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: 978-3-540-61722-8Published: 02 October 1996

  • eBook ISBN: 978-3-540-69993-4Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 120

  • Topics: Differential Geometry, Abstract Harmonic Analysis

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