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Fractional Elliptic Problems with Critical Growth in the Whole of $/R^n$ - Serena Dipierro, María Medina, Enrico Valdinoci

Fractional Elliptic Problems with Critical Growth in the Whole of $/R^n$

Buch | Softcover
155 Seiten
2017 | 1st ed. 2017
Scuola Normale Superiore (Verlag)
978-88-7642-600-1 (ISBN)
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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.
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.

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.

Erscheinungsdatum
Reihe/Serie Lecture Notes (Scuola Normale Superiore)
Lecture Notes (Scuola Normale Superiore)
Publications of the Scuola Normale Superiore ; 15
Publications of the Scuola Normale Superiore ; 15
Zusatzinfo VIII, 155 p.
Verlagsort Pisa
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 88-7642-600-0 / 8876426000
ISBN-13 978-88-7642-600-1 / 9788876426001
Zustand Neuware
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