# A note on non lower semicontinuous perimeter functionals on partitions

created by magni on 04 May 2015
modified on 06 Nov 2015

[BibTeX]

Accepted Paper

Inserted: 4 may 2015
Last Updated: 6 nov 2015

Journal: Networks and Heterogeneous Media
Year: 2015

Abstract:

We consider isotropic non lower semicontinuous weighted perimeter functionals defined on partitions of domains in $\mathbb{R}^n$. Besides identifying a condition on the structure of the domain which ensures the existence of minimizing configurations, we describe the structure of such minima, as well as their regularity.