JournalsrlmVol. 34, No. 2pp. 295–306

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

  • Fausto Ferrari

    Università di Bologna, Italy

  • Nicolò Forcillo

    Michigan State University, East Lansing, USA
A counterexample to the monotone increasing behavior of an Alt–Caffarelli–Friedman formula in the Heisenberg group cover
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Abstract

In this paper, we provide a counterexample about the existence of an increasing monotonicity behavior of a function introduced by Ferrari and Forcillo (2020), companion of the celebrated Alt–Caffarelli–Friedman monotonicity formula, in the noncommutative framework.

Cite this article

Fausto Ferrari, Nicolò Forcillo, A counterexample to the monotone increasing behavior of an Alt–Caffarelli–Friedman formula in the Heisenberg group. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 2, pp. 295–306

DOI 10.4171/RLM/1007