Date(s) - 03/10/2017
10 h 00 min - 11 h 00 min
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 recent and it is available in https://arxiv.org/abs/1707.03267