The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz–
Sobolev spaces in R n. An improved embedding with an Orlicz–Lorentz target space, which …

We establish interior and up to the boundary Hölder regularity estimates for weak solutions
of the Dirichlet problem for the fractional g− Laplacian with bounded right hand side and g …

We continue the study of the space BV α(Rn) of functions with bounded fractional variation in
Rn and of the distributional fractional Sobolev space Sα, p (Rn), with p∈[1,+∞] and α∈(0 …

We continue the study of the space BV α (R n) of functions with bounded fractional variation
in R n of order α∈(0, 1) introduced in our previous work (Comi and Stefani in J Funct Anal …

In the first part of this article we deal with the existence of at least three non-trivial weak
solutions of a nonlocal problem with nonstandard growth involving a nonlocal Robin type …

We study the asymptotics of Dirichlet eigenvalues and eigenfunctions of the fractional
Laplacian (-Δ) s in bounded open Lipschitz sets in the small order limit s→ 0+. While it is …

Some recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They
concern Sobolev type embeddings for these spaces with an optimal Orlicz target, related …

A necessary and sufficient condition for fractional Orlicz–Sobolev spaces to be continuously
embedded into L∞(R n) is exhibited. Under the same assumption, any function from the …

In this paper, we unify and improve some of the results of Bourgain, Brezis, and Mironescu
and the weighted Poincaré–Sobolev estimate by Fabes, Kenig, and Serapioni. More …

We study different maximum principles for non-local non-linear operators with non-standard
growth that arise naturally in the context of fractional Orlicz–Sobolev spaces and whose …