INVESTIGADORES
FERNANDEZ BONDER Julian
artículos
Título:
Fractional order Orlicz-Sobolev spaces
Autor/es:
FERNÁNDEZ BONDER, JULIÁN; SALORT, ARIEL M.
Revista:
JOURNAL OF FUNCTIONAL ANALYSIS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2019 vol. 277 p. 333 - 367
ISSN:
0022-1236
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.
