A note on non lower semicontinuous perimeter functionals on partitions
Analysis of PDEs
2015-05-19 v1 Differential Geometry
Abstract
We consider isotropic non lower semicontinuous weighted perimeter functionals defined on partitions of domains in . 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.
Cite
@article{arxiv.1505.00820,
title = {A note on non lower semicontinuous perimeter functionals on partitions},
author = {Annibale Magni and Matteo Novaga},
journal= {arXiv preprint arXiv:1505.00820},
year = {2015}
}