info:eu-repo/semantics/article
Fractional order Orlicz-Sobolev spaces
Fecha
2019-04Registro en:
Fernandez Bonder, Julian; Salort, Ariel Martin; Fractional order Orlicz-Sobolev spaces; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 277; 2; 4-2019; 333-367
0022-1236
CONICET Digital
CONICET
Autor
Fernandez Bonder, Julian
Salort, Ariel Martin
Resumen
In this paper 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.