Description

Book Synopsis

These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary.

The results presented are original, but no particular prerequisite or knowledge of the previous literature is needed to read this text. The work is accessible to a wide audience and can also serve as introductory research material on the topic of nonlocal nonlinear equations.



Table of Contents
Introduction.- The problem studied in this monograph.- Functional analytical setting.- Existence of a minimal solution and proof of Theorem 2.2.2.- Regularity and positivity of the solution.- Existence of a second solution and proof of Theorem 2.2.4.

Fractional Elliptic Problems with Critical Growth

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A Paperback / softback by Serena Dipierro, María Medina, Enrico Valdinoci

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    View other formats and editions of Fractional Elliptic Problems with Critical Growth by Serena Dipierro

    Publisher: Birkhauser Verlag AG
    Publication Date: 15/02/2017
    ISBN13: 9788876426001, 978-8876426001
    ISBN10: 8876426000
    Also in:
    Calculus of variations Differential calculus and equations Optimization

    Description

    Book Synopsis

    These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary.

    The results presented are original, but no particular prerequisite or knowledge of the previous literature is needed to read this text. The work is accessible to a wide audience and can also serve as introductory research material on the topic of nonlocal nonlinear equations.



    Table of Contents
    Introduction.- The problem studied in this monograph.- Functional analytical setting.- Existence of a minimal solution and proof of Theorem 2.2.2.- Regularity and positivity of the solution.- Existence of a second solution and proof of Theorem 2.2.4.

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