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.
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页码：93 / 106
页数：13
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