29 citations · 33 across the 9 of their papers we have counts for
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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
The fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation
Francesca Corni, Fausto Ferrari
In this paper we construct the fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation approach. In addition, we characterize the powers of the fra…