Seminario de Ecuaciones Diferenciales

Event Details

Conferenciante: Stefano Iula (Universität Basel)
Título: "Fractional Moser-Trudinger type inequalities in one dimension"
Fecha y hora: Jueves 23 de febrero de 2017, 13:10
Lugar de encuentro: Seminario de la primera planta, IEMath-GR
In this talk we will present a sharp fractional Moser-Trudinger type inequality on an interval I⊆ℝ and prove the existence of critical points of the corresponding functional. Exploiting a technique by Ruf, we will show a fractional Moser-Trudinger inequality on the whole ℝ. We will also discuss some recent results by Parini and Ruf on a fractional Moser-Trudinger type inequality in the setting of Sobolev-Slobodeckij spaces in dimension one, pushing further their analysis by considering the inequality on the whole ℝ and giving an answer to one of their open questions.

Más información aquí.