A Holder 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) -> infinity as a particular case, tough it could be extended to a function of the Holder quotient of order s, whose primitive is an Orlicz function satisfying appropriated growth conditions. The limit equation involves the Holder infinity Laplacian.

Automated summary

This paper investigates the asymptotic behavior of solutions to a family of fractional type problems on a bounded domain with homogeneous Dirichlet boundary conditions. The family of differential operators includes the fractional p(n)-Laplacian and can be extended to include a function of the Holder quotient of order s. The limit equation involves the Holder infinity Laplacian.