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

2017. Auflage 2017
ISBN: 978-88-7642-600-1
Verlag: Scuola Normale Superiore

Buch, Englisch, 155 Seiten, Book, Format (B × H): 154 mm x 241 mm, Gewicht: 346 g

Reihe: Lecture Notes (Scuola Normale Superiore)

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.

Zielgruppe

Research

Autoren/Hrsg.

Dipierro, Serena

Medina, Maria

Medina, María

Valdinoci, Enrico

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.