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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Tabella dei contenuti
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.
Lingua Inglese ● Formato PDF ● Pagine 155 ● ISBN 9788876426018 ● Dimensione 1.7 MB ● Casa editrice Scuola Normale Superiore ● Città Pisa ● Paese CH ● Pubblicato 2017 ● Scaricabile 24 mesi ● Moneta EUR ● ID 5165710 ● Protezione dalla copia DRM sociale
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