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Classification Theory of Riemannian Manifolds

Harmonic, Quasiharmonic and Biharmonic Functions

  • Book
  • © 1977

Overview

Authors:
  1. Leo Sario
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  2. Mitsuru Nakai
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  3. Cecilia Wang
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  4. Lung Ock Chung
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 605)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-XX
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  2. Preface and historical note

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 1-11

  3. Laplace-Beltrami operator

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 12-25

  4. Harmonic functions

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 26-70

  5. Quasiharmonic functions

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 71-136

  6. Bounded biharmonic functions

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 137-186

  7. Dirichlet finite biharmonic functions

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 187-215

  8. Bounded dirichlet finite biharmonic functions

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 216-236

  9. Harmonic, quasiharmonic, and biharmonic degeneracies

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 237-244

  10. Riesz representation of biharmonic functions

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 245-297

  11. Biharmonic Green’s function γ

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 298-339

  12. Biharmonic Green’s function β: Definition and existence

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 340-382

  13. Relation of O β N to other null classes

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 383-443

  14. Hadamard’s conjecture on the Green’s function of a clamped plate

    • Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung
    Pages 444-472

  15. Back Matter

    Pages 473-498
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Keywords

Bibliographic Information

  • Book Title: Classification Theory of Riemannian Manifolds

  • Book Subtitle: Harmonic, Quasiharmonic and Biharmonic Functions

  • Authors: Leo Sario, Mitsuru Nakai, Cecilia Wang, Lung Ock Chung

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0064417

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1977

  • Softcover ISBN: 978-3-540-08358-0Published: 01 August 1977

  • eBook ISBN: 978-3-540-37261-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XXII, 502

  • Topics: Mathematics, general

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