Calculus of Variations and Geometric Measure Theory
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A. Magni - M. Novaga

A note on non lower semicontinuous perimeter functionals on partitions

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


Accepted Paper

Inserted: 4 may 2015
Last Updated: 6 nov 2015

Journal: Networks and Heterogeneous Media
Year: 2015


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.


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