Fractional order Orlicz-Sobolev spaces - A. Salort (Universidad de Buenos Aires)
Dettagli dell'evento
Quando
11/10/2017
dalle 15:00 alle 16:00
dalle 15:00 alle 16:00
Dove
DMI - Palazzo Manfredini - Aula B3
Persona di riferimento
D. Foschi
In this work we define the fractional order Orlicz-Sobolev spaces, and prove its convergence to the classical Orlicz-Sobolev spaces when the fractional parameter s↑1 in the spirit of the celebrated result of Bourgain-Brezis-Mironescu. We then deduce some consequences such as Γ−convergence of the modulars and convergence of solutions for some fractional versions of the Δ_g operator as the fractional parameter s↑1.