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research
Bounds for eigenvalue ratios of the Laplacian
Authors
Q. -m. Cheng
Qing-ming Cheng
X. Qi
Xuerong Qi
Publication date
8 June 2011
Publisher
View
on
arXiv
Abstract
For a bounded domain
Ω
\Omega
Ω
with a piecewise smooth boundary in an
n
n
n
-dimensional Euclidean space
R
n
\mathbf{R}^{n}
R
n
, we study eigenvalues of the Dirichlet eigenvalue problem of the Laplacian. First we give a general inequality for eigenvalues of the Laplacian. As an application, we study lower order eigenvalues of the Laplacian and derive the ratios of lower order eigenvalues of the Laplacian.Comment: 14 page
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Last time updated on 30/10/2017