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arXiv · 2203.06232

A counterexample to the monotone increasing behavior of an Alt-Caffarelli-Friedman formula in the Heisenberg group

Fausto Ferrari·Nicolò Forcillo
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Abstract

In this paper we provide a counterexample about the existence of an increasing monotonicity behavior of a function introduced in \cite{FeFo}, companion of the celebrated Alt-Caffarelli-Friedman monotonicity formula, in the noncommutative framework.

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Fausto Ferrari, Nicolò Forcillo. 2022-03-11. A counterexample to the monotone increasing behavior of an Alt-Caffarelli-Friedman formula in the Heisenberg group. https://doi.org/10.4171/rlm/1007

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