Fractional order Orlicz-Sobolev spaces - A. Salort (Universidad de Buenos Aires)

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Quando

11/10/2017
dalle 15:00 alle 16:00

Dove

DMI - Palazzo Manfredini - Aula B3

Persona di riferimento

D. Foschi

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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.

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