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arXiv · 2402.13078

On the properties of the set where a generalized function of bounded variation takes infinite value

Alessandro Cucinotta
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Abstract

We study the properties of the set where a generalized function of bounded variation has infinite approximate limit, highlighting in this way the main geometric difference with functions of bounded variation. To this aim we prove a new result on strict approximation of sets of finite perimeter from the outside with open sets.

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Alessandro Cucinotta. 2024-02-20. On the properties of the set where a generalized function of bounded variation takes infinite value. https://arxiv.org/abs/2402.13078

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