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arXiv · 1004.2874

A new compact class of open sets under Hausdorff distance and shape optimization

Donghui Yang
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Abstract

In this paper we obtain a new class of open sets, and we prove the class is compact under the Hausdorff distance, then we prove the existence of solutions of some shape optimization for elliptic equations.

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Donghui Yang. 2010-08-16. A new compact class of open sets under Hausdorff distance and shape optimization. https://arxiv.org/abs/1004.2874

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