Description

Book Synopsis
Offers lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds. This volume includes a brief introduction to differential and Riemannian geometry. It deals with the general theory of Sobolev spaces for compact manifolds, and also presents special types of Sobolev inequalities under constraints.

Table of Contents
Elements of Riemannian geometry Sobolev spaces: The compact setting Sobolev spaces: The noncompact setting Best constants in the compact setting I Best constants in the compact setting II Optimal inequalities with constraints Best constants in the noncompact setting Euclidean-type Sobolev inequalities The influence of symmetries Manifolds with boundary Bibliography.

Nonlinear Analysis on Manifolds Sobolev Spaces

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A Paperback by Emmanuel Hebey

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    View other formats and editions of Nonlinear Analysis on Manifolds Sobolev Spaces by Emmanuel Hebey

    Publisher: MP-AMM American Mathematical
    Publication Date: 10/30/2000 12:00:00 AM
    ISBN13: 9780821827000, 978-0821827000
    ISBN10: 0821827006
    Also in:
    Analytic geometry Euclidean geometry

    Description

    Book Synopsis
    Offers lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds. This volume includes a brief introduction to differential and Riemannian geometry. It deals with the general theory of Sobolev spaces for compact manifolds, and also presents special types of Sobolev inequalities under constraints.

    Table of Contents
    Elements of Riemannian geometry Sobolev spaces: The compact setting Sobolev spaces: The noncompact setting Best constants in the compact setting I Best constants in the compact setting II Optimal inequalities with constraints Best constants in the noncompact setting Euclidean-type Sobolev inequalities The influence of symmetries Manifolds with boundary Bibliography.

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