242 citations · 611 across the 19 of their papers we have counts for
4 papers · 1 filter
Besov regularity of solutions to the Dirichlet problem for the Bessel -Laplacian
Juan Pablo Borthagaray, Leandro M. Del Pezzo, José Camilo Rueda Niño
We study the Dirichlet problem for a class of fractional -Laplacian operators of order defined through the Riesz fractional gradient, which differs fundamentally f…
Quasi-linear fractional-order operators in Lipschitz domains
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
We prove Besov boundary regularity for solutions of the homogeneous Dirichlet problem for fractional-order quasi-linear operators with variable coefficients on Lipschitz domains $Ω…
Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains
Juan Pablo Borthagaray, Ricardo H. Nochetto
We prove Besov regularity estimates for the solution of the Dirichlet problem involving the integral fractional Laplacian of order in bounded Lipschitz domains : \[ \begin{a…
A mass transportation approach for Sobolev inequalities in variable exponent spaces
Juan Pablo Borthagaray, Julián Fernández Bonder, Analía Silva
In this paper we provide a proof of the Sobolev-Poincaré inequality for variable exponent spaces by means of mass transportation methods. The importance of this approach is that th…