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Fractional Elliptic Problems with Critical Growth in the Whole of $R^n$
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Artikel-Nr:
9788876426001
Veröffentl:
2017
Erscheinungsdatum:
15.02.2017
Seiten:
155
Autor:
Serena Dipierro
Gewicht:
346 g
Format:
241x154x17 mm
Sprache:
Englisch
Beschreibung:
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.
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.
Focuses on a nonlinear equation of nonlocal type
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.