Asymptotic behaviours in Fractional Orlicz-Sobolev spaces on Carnot groups

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 behavior of the Orlicz functionals when the fractional parameter goes to $1$ and $0$.

References in corpus (1)

• Gamma-convergence of nonlocal perimeter functionals