In this article, we define a class of fractional Orlicz–Sobolev spaces on Carnot groups, and in the spirit of the celebrated results of Bourgain–Brezis–Mironescu and of Maz’ya–Shaposhnikova, we study the asymptotic behaviour of the Orlicz functionals when the fractional parameter goes to 1 and 0.
Asymptotic Behaviours in Fractional Orlicz–Sobolev Spaces on Carnot Groups
Maione A.;Vecchi E.
In corso di stampa
Abstract
In this article, we define a class of fractional Orlicz–Sobolev spaces on Carnot groups, and in the spirit of the celebrated results of Bourgain–Brezis–Mironescu and of Maz’ya–Shaposhnikova, we study the asymptotic behaviour of the Orlicz functionals when the fractional parameter goes to 1 and 0.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
s12220-020-00391-5.pdf
Accesso riservato
:
Publisher’s version
Dimensione
444.2 kB
Formato
Adobe PDF
|
444.2 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
