6 papers
Free boundary regularity for the inhomogeneous one-phase Stefan problem
Fausto Ferrari, Nicolò Forcillo, Davide Giovagnoli +1
In this paper, we prove that flat free boundaries of solutions to inhomogeneous one-phase Stefan problem are . The method consists of employing a hodograph transform and…
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 and, more generally, for viscosity supersolutions of $|\nabla u|^Î…
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 -harmonic functions, we introduce some monotonicity formulas in the nonlocal setting. We take into account intrinsically non…
regularity for fractional -harmonic functions
Davide Giovagnoli, David Jesus, Luis Silvestre
We establish interior regularity estimates for some , for solutions of the fractional -Laplace equation when is in the range $p \in [2,2/…
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 fully nonlinear transmission problem degenerating on the interface
Davide Giovagnoli, David Jesus
In this paper we prove that solutions to a transmission problem degenerating on the interface are Hölder differentiable up to the interface with universal estimates. Furthermore,…