Showing 2024Show all
3 papers · 1 filter
math.AP2024
A fully nonlinear transmission problem degenerating on the interface
Davide Giovagnoli, David Jesus
In this paper we prove that solutions to a transmission problem degenerating on the interface are Hölder differentiable up to the interface with universal estimates. Furthermore, w…
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…