57 citations · 173 across the 23 of their papers we have counts for
25 papers
Regularity of Lipschitz free boundaries for a -Laplacian problem with right hand side
Fausto Ferrari, Claudia Lederman
We continue our study in \cite{FL} on viscosity solutions to a one-phase free boundary problem for the -Laplacian with non-zero right hand side. We first prove that viscosity…
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…
Recent Results On Nonlinear Elliptic Free Boundary Problems
Fausto Ferrari, Claudia Lederman, Sandro Salsa
In this paper we give an overview of some recent and older results concerning free boundary problems governed by elliptic operators.
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…
Some evaluations of the fractional -Laplace operator on radial functions
F. Colasuonno, F. Ferrari, P. Gervasio +1
We face a rigidity problem for the fractional -Laplace operator to extend to this new framework some tools useful for the linear case. It is known that a…
Estimates for the -Laplacian relative to vector fields
Fausto Ferrari, Juan J. Manfredi
In this paper we prove a Hölder regularity estimate for viscosity solutions of inhomogeneous equations governed by the infinite Laplace operator relative to a frame of vector field…