7 citations · 18 across the 7 of their papers we have counts for
10 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 d…
Regularity for almost minimizers of a one-phase Bernoulli-type functional in Carnot Groups of step two
Fausto Ferrari, Nicoló Forcillo, Enzo Maria Merlino
We prove that nonnegative almost minimizers of the horizontal Bernoulli-type functional are Lipschitz c…
Alt-Caffarelli-Friedman monotonicity formula and mean value properties in Carnot groups with applications
Fausto Ferrari, Nicolò Forcillo
In this paper we provide a different approach to the Alt-Caffarelli-Friedman monotonicity formula, reducing the problem to test the monotone increasing behavior of the mean value o…
A sub-Riemannian maximum modulus theorem
Federico Buseghin, Nicolò Forcillo, Nicola Garofalo
In this note we prove a sub-Riemannian maximum modulus theorem in a Carnot group. Using a nontrivial counterexample, we also show that such result is best possible, in the sense th…
Lipschitz regularity of almost minimizers in one-phase problems driven by the -Laplace operator
Serena Dipierro, Fausto Ferrari, Nicolò Forcillo +1
We prove that, given~, the nonnegative almost minimizers of the nonlinear free boundary functional $$ J_p(u,Ω):=\int_Ω\Big( |\nabla u(x)|^p+χ…
A counterexample to the monotone increasing behavior of an Alt-Caffarelli-Friedman formula in the Heisenberg group
Fausto Ferrari, Nicolò Forcillo
In this paper we provide a counterexample about the existence of an increasing monotonicity behavior of a function introduced in \cite{FeFo}, companion of the celebrated Alt-Caffar…
Perturbative estimates for the one-phase Stefan Problem
Daniela De Silva, Nicolo Forcillo, Ovidiu Savin
We provide perturbative estimates for the one-phase Stefan free boundary problem and obtain the regularity of flat free boundaries via a linearization technique in the spirit of th…
A new glance to the Alt-Caffarelli-Friedman monotonicity formula
Fausto Ferrari, Nicolò Forcillo
In this paper we revisit the proof of the Alt-Caffarelli-Friedman monotonicity formula. Then, in the framework of the Heisenberg group, we discuss the existence of an analogous mon…
Some remarks about the existence of an Alt-Caffarelli-Friedman monotonicity formula in the Heisenberg group
Fausto Ferrari, Nicolò Forcillo
The aim of this paper is to study the existence of an Alt-Caffarelli-Friedman monotonicity type formula in the Heisenberg group.
Enhanced boundary regularity of planar nonlocal minimal graphs, and a butterfly effect
Serena Dipierro, Aleksandr Dzhugan, Nicolò Forcillo +1
In this note, we showcase some recent results concerning the stickiness properties of nonlocal minimal graphs in the plane. To start with, the nonlocal minimal graphs in the plane…