paper

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

arXiv:2001.06314

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}.

arXiv admin note: text overlap with arXiv:2001.04393