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math.AP2024
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…
math.AP2024
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…
math.AP2024
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…