Fractional order Orlicz-Sobolev spaces

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Date(s) - 03/10/2017
10 h 00 min - 11 h 00 min

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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/

Olivier CHABROL
Posts created 14

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