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arXiv · 2001.06314

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

Fausto Ferrari·Nicolò Forcillo
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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 \cite{FeFo}.

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Fausto Ferrari, Nicolò Forcillo. 2020-01-16. A new glance to the Alt-Caffarelli-Friedman monotonicity formula. https://arxiv.org/abs/2001.06314

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