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].File in questo prodotto:
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