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Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$

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.

1125887015
Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$

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.

39.99 In Stock
Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$

Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$

Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$

Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$

Overview

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.

Product Details

ISBN-13: 9788876426001
Publisher: Scuola Normale Superiore
Publication date: 06/20/2017
Series: Publications of the Scuola Normale Superiore , #15
Edition description: 1st ed. 2017
Pages: 155
Product dimensions: 6.10(w) x 9.25(h) x (d)

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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