22 citations · 97 across the 51 of their papers we have counts for
5 papers · 2 filters
Fractional order Orlicz-Sobolev spaces
Julián Fernández Bonder, Ariel M. Salort
In this paper we define the fractional order Orlicz-Sobolev spaces, and prove its convergence to the classical Orlicz-Sobolev spaces when the fractional parameter in…
Uniform stability of the ball with respect to the first Dirichlet and Neumann eigenvalues
Joao V. da Silva, Julio D. Rossi, Ariel M. Salort
In this note we analyze how perturbations of a ball behaves in terms of their first (non-trivial) Neumann and Dirichlet eigenvalues w…
Weighted Inequalities for the Fractional Laplacian and the Existence of Extremals
Pablo De Nápoli, Irene Drelichman, Ariel Salort
In this article we obtain improved versions of Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities, involving Besov norms of negative smoothness. As an application of the former…
Maximal solutions for the Infinity-eigenvalue problem
Joao V. da Silva, Julio D. Rossi, Ariel M. Salort
In this article we prove that the first eigenvalue of the Laplacian $$ \left\{ \begin{array}{rclcl} \min\{ -Δ_\infty v,\, |\nabla v|-λ_{1, \infty}(Ω) v \} & = & 0 & \text{…
The infinity-Fucik spectrum
Joao V. da Silva, Julio D. Rossi, Ariel M. Salort
In this article we study the behavior as of the Fucik spectrum for -Laplace operator with zero Dirichlet boundary conditions in a bounded domain $Ω\subset \m…