论文标题

$ M $均匀域和最佳热绝缘问题的紧凑性

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

论文作者

Du, Hengrong, Li, Qinfeng, Wang, Changyou

论文摘要

在本文中,我们将考虑Bucur-buttazzo-Nitsch引入的最佳形状隔热问题。我们将在$ M $均匀域的类别中建立最佳形状的存在。我们还将证明球是最佳热绝缘问题的稳定解决方案。

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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