A new compact class of open sets under Hausdorff distance and shape optimization
General Topology
2010-08-17 v2 Optimization and Control
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.
Keywords
Cite
@article{arxiv.1004.2874,
title = {A new compact class of open sets under Hausdorff distance and shape optimization},
author = {Donghui Yang},
journal= {arXiv preprint arXiv:1004.2874},
year = {2010}
}