Compactness of $M$-uniform domains and optimal thermal insulation problems

Hengrong Du; Qinfeng Li; Changyou Wang

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arXiv · 2008.11144

Compactness of $M$-uniform domains and optimal thermal insulation problems

Hengrong Du·Qinfeng Li·Changyou Wang

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Abstract

In this paper, we will consider an optimal shape problem of heat insulation introduced by Bucur-Buttazzo-Nitsch. We will establish the existence of optimal shapes in the class of $M$-uniform domains. We will also show that balls are stable solutions of the optimal heat insulation problem.

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Hengrong Du, Qinfeng Li, Changyou Wang. 2020-08-25. Compactness of $M$-uniform domains and optimal thermal insulation problems. https://arxiv.org/abs/2008.11144

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