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math.AP2026
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…
math.AP2015
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…