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 monotonicity formula introducing a necessary condition for its existence, recently proved in [18].

Ferrari, F., Forcillo, N. (2020). A new glance to the Alt-Caffarelli-Friedman monotonicity formula. MATHEMATICS IN ENGINEERING, 2(4), 657-679 [10.3934/mine.2020030].

A new glance to the Alt-Caffarelli-Friedman monotonicity formula

Ferrari, Fausto
;
Forcillo, Nicolò
2020

Abstract

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 monotonicity formula introducing a necessary condition for its existence, recently proved in [18].
2020
Ferrari, F., Forcillo, N. (2020). A new glance to the Alt-Caffarelli-Friedman monotonicity formula. MATHEMATICS IN ENGINEERING, 2(4), 657-679 [10.3934/mine.2020030].
Ferrari, Fausto; Forcillo, Nicolò
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/788376
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