论文标题
球形障碍物的steklov laplacian特征值问题的稳定性结果
A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle
论文作者
论文摘要
在本文中,我们研究了第一个带有内部固定球形障碍物的steklov-laplacian特征值。我们证明,当内部球和体积都固定时,球形壳本地局部最大化了几乎球形组之间的第一个特征值。
In this paper we study the first Steklov-Laplacian eigenvalue with an internal fixed spherichal obstacle. We prove that the spherical shell locally maximizes the first eigenvalue among nearly spherical sets when both the internal ball and the volume are fixed.