4 papers · 1 filter
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…