J. P. Borthagaray

activity

20152026

most citedA fractional Laplace equation: regularity of solutions and Finite Element approximations

242 citations · 611 across the 19 of their papers we have counts for

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math.NA2026

Finite element approximation for the Bessel $(p, s)$ -Laplacian

Juan Pablo Borthagaray, José Camilo Rueda Niño

We study the finite element approximation of the Dirichlet problem for the Bessel $(p, s)$ -Laplacian, $div^{s} (∣ \nabla^{s} u ∣^{p - 2} \nabla^{s} u)$ , built f…

math.AP2026

Besov regularity of solutions to the Dirichlet problem for the Bessel $(p, s)$ -Laplacian

Juan Pablo Borthagaray, Leandro M. Del Pezzo, José Camilo Rueda Niño

We study the Dirichlet problem for a class of fractional $p$ -Laplacian operators of order $s \in (0, 1)$ defined through the Riesz fractional gradient, which differs fundamentally f…

Finite element approximation for the Bessel (p,s)-Laplacian

Besov regularity of solutions to the Dirichlet problem for the Bessel (p,s)-Laplacian

Finite element approximation for the Bessel $(p, s)$ -Laplacian

Besov regularity of solutions to the Dirichlet problem for the Bessel $(p, s)$ -Laplacian