Speaker: Antonella Ritorto

Katholische Universität Eichstätt-Ingolstadt, Germany

Date:  April 13, 2022 at 12 Santiago time

Abstract: In this talk, we prove the existence of an extremal function in the Hardy-Littlewood-Sobolev inequality for the energy associated with an stable operator, via a concentration-compactness principle for stable processes. This result can be seen as the first step to study existence of positive solutions of the corresponding nonlocal equations with critical nonlinearities perturbed by lower order terms.

Joint work with Arturo de Pablo (Universidad Carlos III de Madrid) and Fernando Quirós (Universidad Autónoma de Madrid).

Venue: Online via Zoom / Sala de seminarios DIM, Beauchef 851, piso 5
Chair: Gabrielle Nornberg