论文标题
neumann特征值等级-1对称空间中的neumann特征值的等等不平等现象
Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces
论文作者
论文摘要
在本文中，我们证明了Neumann Laplacian在紧凑型和非稳定级别对称空间中的有界域上的较低阶段特征值的尖锐等级不平等。我们的结果概括了Wang和Xia在双曲线空间中对有界结构域的工作[13]，而Szegö-Weinberger不平等在由Aithal和Santhanam获得的等级-1对称空间中[1]。
In this paper, we prove sharp isoperimetric inequalities for lower order eigenvalues of Neumann Laplacian on bounded domains in both compact and noncompact rank-1 symmetric spaces. Our results generalize the work of Wang and Xia for bounded domains in the hyperbolic space [13], and Szegö-Weinberger inequality in rank-1 symmetric spaces obtained by Aithal and Santhanam [1].
