22 citations · 97 across the 51 of their papers we have counts for
7 papers · 2 filters
Global Hölder regularity for eigenfunctions of the fractional -Laplacian
Julián Fernández Bonder, Ariel Salort, Hernán Vivas
We establish global Hölder regularity for eigenfunctions of the fractional Laplacian with Dirichlet boundary conditions where and is a Young functions satisfying the…
On the asymptotic behavior of -fractional eigenvalues
Ariel Salort, Eugenio Vecchi
In this note we obtain an asymptotic estimate for growth behavior of variational eigenvalues of the fractional eigenvalue problem on a smooth bounded domain with Dirichlet boun…
On the mixed local-nonlocal Hénon equation
Ariel Salort, Eugenio Vecchi
In this paper we consider a Hénon-type equation driven by a nonlinear operator obtained as a combination of a local and nonlocal term. We prove existence and non-existence akin to…
Nonstandard growth optimization problems with volume constraint
Ariel Salort, Belem Schvager, Analía Silva
In this article we study some optimal design problems related to nonstandard growth eigenvalues ruled by the Laplacian operator. More precisely, given and $α,c>…
Lower bounds for Orlicz eigenvalues
Ariel M. Salort
In this article we consider the following weighted nonlinear eigenvalue problem for the Laplacian $$ -\mathop{\text{ div}}\left( g(|\nabla u|)\frac{\nabla u}{|\nabla u|}\right)…
Maximum principles, Liouville theorem and symmetry results for the fractional Laplacian
Sandra Molina, Ariel Salort, Hernán Vivas
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…