论文信息 - Some Compact Classes of Open Sets under Hausdorff Distance and Application to Shape Optimization

Some Compact Classes of Open Sets under Hausdorff Distance and Application to Shape Optimization

In this paper, we introduce three new classes of open sets in a general Euclidean space $\mathbb{R}^N$. It is shown that every class of open sets is compact under the Hausdorff distance. The result is then applied to a shape optimization problem of elliptic equation. The existence of the optimal solution is presented.

Bao-Zhu Guo | Dong-Hui Yang | B. Guo | Donghui Yang

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