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math.AP2023
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…
math.AP2023★ 4 cited
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…
math.AP2023
A sub-Riemannian maximum modulus theorem
Federico Buseghin, Nicolò Forcillo, Nicola Garofalo
In this note we prove a sub-Riemannian maximum modulus theorem in a Carnot group. Using a nontrivial counterexample, we also show that such result is best possible, in the sense th…