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 / Capolli, M.; Maione, A.; Salort, A. M.; Vecchi, E.. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - ELETTRONICO. - 2020:(2020). [10.1007/s12220-020-00391-5]
Asymptotic Behaviours in Fractional Orlicz–Sobolev Spaces on Carnot Groups
Capolli M.;Maione A.;Vecchi E.
2020-01-01
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:
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