ANAP Seminar | Speaker: Filippo Cassanello (Università di Cagliari)

Venue: Departamento de Matemática, UTAD, Vila Real,

Online: Link

Abstract: The fractional p-Laplacian is the model case of divergence-form nonlinear, nonlocal operators, which have attracted increasing attention in recent years, especially within the field of regularity theory. It is well known, since the 2016 work of Di  Castro-Kuusi-Palatucci, that weak solutions of the fractional  p-Laplace equation are locally Hölder continuous. I will present a new proof of such result, obtained in collaboration with professors F.G. Düzgün and A. Iannizzotto (UniCa), based on the method of positivity clustering and expansion introduced by DiBenedetto, and discuss some developments and applications.