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Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
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Catalogue Information
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Details
Dewey Class
515.353
Title
Fractional Elliptic Problems with Critical Growth in the Whole of ℝn ([EBook]) / by Serena Dipierro, María Medina, Enrico Valdinoci.
Author
Dipierro, Serena
Added Personal Name
Medina, María
author.
Valdinoci, Enrico
author.
Other name(s)
SpringerLink (Online service)
Publication
Pisa : : Scuola Normale Superiore : : Imprint: Edizioni della Normale, , 2017.
Physical Details
VIII, 158 p. : online resource.
Series
Publications of the Scuola Normale Superiore
; 15
ISBN
9788876426018
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-88-7642-601-8
Links to Related Works
Subject References:
Calculus of variations
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Calculus of variations and optimal control; optimization
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Mathematics
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Partial differential equations
.
Authors:
Dipierro, Serena
.
Medina, María
.
Valdinoci, Enrico
.
Corporate Authors:
SpringerLink (Online service)
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Series:
Publications of the Scuola Normale Superiore
.
Classification:
515.353
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