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

Published 11 Mar 2022 in math.AP | (2203.06232v1)

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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