Published Paper

Inserted: 4 may 2018
Last Updated: 13 jun 2019

Journal: SIAM Journal on Mathematical Analysis
Volume: 51
Number: 3
Pages: 2359–2371
Year: 2019
Doi: 10.1137/18M1186514

Abstract:

We give an example of an absolutely continuous measure $\mu$ on $\mathbb R^d$, for any $d \ge 1$, such that no minimizer of the $3$-marginal harmonic repulsive cost with all marginals equal to $\mu$ is supported on a graph over the first variable.