论文标题

关于连续施泰纳对称的连续性

On the continuity of the Continuous Steiner Symmetrization

论文作者

Buttazzo, Giuseppe

论文摘要

从布罗克(Brock)的连续施泰纳对称集合开始,考虑到连续修改给定域以获得球,保留其度量并减少拉普拉斯操作员的第一本特征值的问题。对于大量的情况,这表明这是可能的,而一般问题仍然开放。

Starting from the Brock's construction of Continuous Steiner Symmetrization of sets, the problem of modifying continuously a given domain up to obtain a ball, preserving its measure and with decreasing first eigenvalue of the Laplace operator, is considered. For a large class of cases it is shown this is possible, while the general question remains still open.

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