Accepted Paper

Inserted: 8 dec 2021
Last Updated: 24 oct 2022

Journal: Indiana Univ. Math. J.
Year: 2021

Abstract:

We address a question raised by Ambrosio, Bourgain, Brezis, and Figalli, proving that the $\Gamma$-limit, with respect to the $L^1_{\rm loc}$ topology, of a family of $BMO$-type seminorms is given by $\tfrac14$ times the total variation seminorm.