A note on non lower semicontinuous perimeter functionals on partitions

Annibale Magni; Matteo Novaga

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arXiv · 1505.00820

A note on non lower semicontinuous perimeter functionals on partitions

Annibale Magni·Matteo Novaga

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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.

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Annibale Magni, Matteo Novaga. 2015-05-04. A note on non lower semicontinuous perimeter functionals on partitions. https://arxiv.org/abs/1505.00820

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