A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians

This paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators includes the fractional p n -Laplacian when p n → ∞ as a particular case, tough it could be extended to a function of the Hölder quotient of order s , whose primitive is an Orlicz function satisfying appropriated growth conditions. The limit equation involves the Hölder infinity Laplacian.