European University Institute Library

Fractional Elliptic Problems with Critical Growth in the Whole of Rn, by Serena Dipierro, María Medina, Enrico Valdinoci

eng

0

non fiction

Fractional Elliptic Problems with Critical Growth in the Whole of Rn

electronic resource

dictionaries

1005824917

by Serena Dipierro, María Medina, Enrico Valdinoci

Springer eBooksPublications of the Scuola Normale Superiore, 15

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.--, Provided by publisher

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