5 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…
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…
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…
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 Lipschit…
The fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation
Francesca Corni, Fausto Ferrari
In this paper we construct the fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation approach. In addition, we characterize the powers of the fra…