29 citations · 33 across the 9 of their papers we have counts for
10 papers
A transmission problem arising from the two-phase Stefan problem
Fausto Ferrari, Davide Giovagnoli, David Jesus
We study a parabolic transmission problem whose interface condition depends on the time derivative of the solution. This model arises naturally as the linearized limiting profile o…
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…
Lipschitz regularity for almost minimizers of a one-phase -Bernoulli-type functional in Carnot Groups of step two
Fausto Ferrari, Enzo Maria Merlino
In this paper, in a Carnot group of step and homogeneous dimension , we prove that almost minimizers of the (horizontal) one-phase -Bernoulli-type functional…
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…
Some counterexamples to Alt-Caffarelli-Friedman monotonicity formulas in Carnot groups
Fausto Ferrari, Davide Giovagnoli
In this paper we continue the analysis of an Alt-Caffarelli-Friedman (ACF) monotonicity formula in Carnot groups of step confirming the existence of counterexamples to the m…
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…
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…
Two-phase problems with distributed source: regularity of the free boundary
D. De Silva, F. Ferrari, S. Salsa
We investigate the regularity of the free boundary for a general class of two-phase free boundary problems with non-zero right hand side. We prove that Lipschitz or flat free bound…