Fractional order Orlicz-Sobolev spaces
Date(s) : 03/10/2017 iCal
10h00 - 11h00
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
http://mate.dm.uba.ar/~asalort/
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