Calculus of Variations and Geometric Measure Theory

M. Ruf

On the continuity of functionals defined on partitions

created by ruf on 12 Dec 2016
modified on 17 Oct 2017


Accepted Paper

Inserted: 12 dec 2016
Last Updated: 17 oct 2017

Journal: Adv. Calc. Var.
Year: 2017

Published online on April 19, 2017


We characterize the continuity of prototypical functionals acting on finite Caccioppoli partitions and prove that it is equivalent to convergence of the perimeter of the jump set.