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

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.

Sommario

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.

Dettagli sul prodotto

• Autori: Seren Dipierro, Serena Dipierro, Marí Medina, Maria Medina, María Medina, Enrico Valdinoci
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 31.05.2017
• EAN: 9788876426001
• ISBN: 978-88-7642-600-1
• Pagine: 155
• Dimensioni: 149 mm x 240 mm x 15 mm
• Serie: Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore); Publications of the Scuola Normale Superiore; Lecture Notes (Scuola Normale Superiore); Publications of the Scuola Nor; Publications of the Scuola Normale Superiore; Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore); Lecture Notes (Scuola Normale Superiore)
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi