Davide Giovagnoli

collaborators

4 papers

math.AP2025

A quantitative Hopf-Oleinik lemma for degenerate fully nonlinear operators and applications to free boundary problems

Davide Giovagnoli, Enzo Maria Merlino, Diego Moreira

We prove a quantitative inhomogeneous Hopf-Oleinik lemma for viscosity solutions of $∣\nabla u ∣^{α} F (D^{2} u) = f$ and, more generally, for viscosity supersolutions of $|\nabla u|^α\…

math.AP2025

On a fractional Alt-Caffarelli-Friedman-type monotonicity formula

Fausto Ferrari, Davide Giovagnoli, Enzo Maria Merlino

In this note, by exploiting mean value properties of $s$ -harmonic functions, we introduce some monotonicity formulas in the nonlocal setting. We take into account intrinsically non…

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

On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem

Fausto Ferrari, Davide Giovagnoli, David Jesus

In this paper, we characterize the geometry of solutions to one-phase inhomogeneous fully nonlinear Stefan problem with flat free boundaries under a new nondegeneracy assumption. T…

A quantitative Hopf-Oleinik lemma for degenerate fully nonlinear operators and applications to free boundary problems

On a fractional Alt-Caffarelli-Friedman-type monotonicity formula

C1+α regularity for fractional p-harmonic functions

On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem

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