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

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].

Bibliographic Details
Main Authors: Fausto Ferrari, Nicolò Forcillo
Format: Article
Language:English
Published: AIMS Press 2020-10-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2020030/fulltext.html