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

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

2010-03-20

arxiv.org/abs/1004.2874v2

Mathematics

General Topology

Scientific paper

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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