Publications of the Scuola Normale Superiore Series

Book 15

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

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

by Serena Dipierro, Maria Medina, and Enrico Valdinoci

Published 15 February 2017

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.