Eigenvalues of Euclidean wedge domains in higher dimensions

被引：0

作者：

Jesse Ratzkin

机构：

[1] University of Cape Town,

来源：

Calculus of Variations and Partial Differential Equations | 2011年 / 42卷

关键词：

35P15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we use a weighted isoperimetric inequality to give a lower bound for the first Dirichlet eigenvalue of the Laplacian on a bounded domain inside a Euclidean cone. Our bound is sharp, in that only sectors realize it. This result generalizes a lower bound of Payne and Weinberger in two dimensions.

引用

页码：93 / 106

页数：13

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