Universal bounds for eigenvalues of a buckling problem II-Reference-Cited by-同舟云学术

Universal bounds for eigenvalues of a buckling problem II

Published:2012-04-18 Issue:11 Volume:364 Page:6139-6158
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Cheng Qing-Ming,Yang Hongcang

Abstract

In this paper, we investigate universal estimates for eigenvalues of a buckling problem. For a bounded domain in a Euclidean space, we give a positive contribution for obtaining a sharp universal inequality for eigenvalues of the buckling problem. For a domain in the unit sphere, we give an important improvement on the results of Wang and Xia.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2012-364-11/S0002-9947-2012-05662-5/S0002-9947-2012-05662-5.pdf

Reference21 articles.

1. On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems;Agmon, Shmuel;Comm. Pure Appl. Math.,1965

2. Isoperimetric and universal inequalities for eigenvalues;Ashbaugh, Mark S.,1999

3. On universal inequalities for the low eigenvalues of the buckling problem;Ashbaugh, Mark S.,2004

4. A unified approach to universal inequalities for eigenvalues of elliptic operators;Ashbaugh, Mark S.;Pacific J. Math.,2004

5. Extrinsic estimates for eigenvalues of the Laplace operator;Chen, Daguang;J. Math. Soc. Japan,2008

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