Antonio Iannizzotto (Cagliari)  “An introduction to the fractional p-Laplacian”

Martedì, 20 Gennaio 2026⋅ 15:00 -17:00 Sala Professori II livello

Mercoledì, 21 Gennaio 2026⋅ 15:00 -17:00 Sala Professori II livello

Giovedì, 22 Gennaio 2026⋅ 15:00 -17:00 Sala Professori II livello

Abstract: In this 3-lectures course, we will introduce the student to an intriguing, though elusive mathematical
object which has gained increasing interest in recent years. The s-fractional p-Laplacian (0 < s < 1,p > 1),
represents an extension of both the (linear) fractional Laplacian and the classical p-Laplace operator,
combining nonlocal and nonlinear features. Related equations have applications in game theory and
purely mathematical problems (such as the Holder extension of a function). We will especially focus
on some regularity problems and their connection to the study of general nonlinear equations.