11/10/2017 Fractional order Orlicz-Sobolev spaces
Ariel Salort (Universidad de Buenos Aires)
11/10/2017, ore 15:00, aula B3 (palazzo Manfredini)
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.The work is quite recent and it is available in https://arxiv.org/abs/1707.03267
