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Fractional elliptic problems with cr...

Dipierro, Serena.

Fractional elliptic problems with critical growth in the whole of Rn

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional elliptic problems with critical growth in the whole of Rnby Serena Dipierro, Maria Medina, Enrico Valdinoci.
Author:	Dipierro, Serena.
other author:	Medina, Maria.
Published:	Pisa :Scuola Normale Superiore :2017.
Description:	viii, 158 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations, Nonlinear.
Online resource:	http://dx.doi.org/10.1007/978-88-7642-601-8
ISBN:	9788876426018$q(electronic bk.)

Fractional elliptic problems with critical growth in the whole of Rn
Dipierro, Serena.

Fractional elliptic problems with critical growth in the whole of Rn[electronic resource] /by Serena Dipierro, Maria Medina, Enrico Valdinoci. - Pisa :Scuola Normale Superiore :2017. - viii, 158 p. :ill., digital ;24 cm. - Publications of the scuola normale superiore ;15. - Publications of the scuola normale superiore ;5..

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.

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.

ISBN: 9788876426018$q(electronic bk.)

Standard No.: 10.1007/978-88-7642-601-8doiSubjects--Topical Terms:

185178
Differential equations, Nonlinear.

LC Class. No.: QA371

Dewey Class. No.: 515.35

Fractional elliptic problems with critical growth in the whole of Rn
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505 0 $a 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.
520 $a 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.
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650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 274198
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