22 citations · 97 across the 51 of their papers we have counts for
5 papers · 2 filters
Magnetic Fractional order Orlicz-Sobolev spaces
Julián Fernández Bonder, Ariel Salort
In this paper we define the notion of nonlocal magnetic Sobolev spaces with non-standard growth for Lipschitz magnetic fields. In this context we prove a Bourgain - Brezis - Mirone…
A Hölder Infinity Laplacian obtained as limit of Orlicz Fractional Laplacians
Julián Fernández Bonder, Mayte Pérez-Llanos, Ariel M. Salort
This paper concerns with the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundar…
Eigenvalues and minimizers for a non-standard growth non-local operator
Ariel M. Salort
In this article we study eigenvalues and minimizers of a fractional non-standard growth problem. We prove several properties on this quantities and their corresponding eigenfunctio…
Compactness and dichotomy in nonlocal shape optimization
Enea Parini, Ariel Salort
We prove a general result about the behaviour of minimizing sequences for nonlocal shape functionals satisfying suitable structural assumptions. Typical examples include functions…
A constrained shape optimization problem in Orlicz-Sobolev spaces
João Vitor Da Silva, Ariel Salort, Analía Silva +1
In this manuscript we study the following optimization problem: given a bounded and regular domain we look for an optimal shape for the "vanish…