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Fractional Elliptic Problems with Critical Growth in the Whole of ℝn

Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
Catalogue Information
Field name 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
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