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math.AP2020
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…
math.AP2020
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…
math.AP2020★ 4 cited
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.