Luis Silvestre

collaborators

2 papers

math.AP2025

$C^{1 + α}$ regularity for fractional $p$ -harmonic functions

Davide Giovagnoli, David Jesus, Luis Silvestre

We establish interior $C^{1, α}$ regularity estimates for some $α > 0$ , for solutions of the fractional $p$ -Laplace equation $(- Δ_{p})^{s} u = 0$ when $p$ is in the range $p \in [2,2/(1-…

math.AP2025

The Landau equation and Fisher information

Nestor Guillen, Luis Silvestre

In this expository note (submitted to Notices of the AMS) we present the ideas used in our recent work ruling out blow up for the Landau equation with Coulomb potential. Blow up is…

C1+α regularity for fractional p-harmonic functions

The Landau equation and Fisher information

$C^{1 + α}$ regularity for fractional $p$ -harmonic functions