22 citations · 97 across the 51 of their papers we have counts for
9 papers · 2 filters
Variational Eigenvalues of the fractional -Laplacian
Sabri Bahrouni, Hichem Ounaies, Ariel Salort
In the present work we study existence of sequences of variational eigenvalues to non-local non-standard growth problems ruled by the fractional Laplacian operator with differe…
Homogenization of Steklov eigenvalues with rapidly oscillating weights
Ariel M. Salort
In this article we study the homogenization rates of eigenvalues of a Steklov problem with rapidly oscillating periodic weight functions. The results are obtained via a careful stu…
Hardy inequalities in fractional Orlicz-Sobolev spaces
Ariel Salort
In this article we prove both norm and modular Hardy inequalities for a class functions in one-dimensional fractional Orlicz-Sobolev spaces.
Interior and up to the boundary regularity for the fractional -Laplacian: the convex case
Julián Fernández Bonder, Ariel Salort, Hernán Vivas
We establish interior and up to the boundary Hölder regularity estimates for weak solutions of the Dirichlet problem for the fractional Laplacian with bounded right hand side a…
Maz'ya-Shaposhnikova formula in Magnetic Fractional Orlicz-Sobolev spaces
Alberto Maione, Ariel Martin Salort, Eugenio Vecchi
In this note we prove the validity of the Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz-Sobolev spaces. This complements a previous study of the limit as $s \uparrow 1…
Fractional eigenvalues in Orlicz spaces with no condition
Ariel Salort, Hernán Vivas
We study the eigenvalue problem for the Laplacian operator in fractional order Orlicz-Sobolev spaces, where and neither nor its conjugated function satisfy the …