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
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.