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arxiv: 1004.2874 · v2 · pith:Y5YZ7WP6new · submitted 2010-03-20 · 🧮 math.GN · math.OC

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

classification 🧮 math.GN math.OC
keywords classcompactdistancehausdorffopenoptimizationprovesets
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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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