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

2020/01/16 by Ferrari, Fausto, Forcillo, Nicolò · 1 citation
#35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/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 \citeFeFo.

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• On a fractional Alt-Caffarelli-Friedman-type monotonicity formula

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