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Inequalities for eigenvalues of the polyharmonic operator Δ p

Inequalities for eigenvalues of the polyharmonic operator Δ p In this paper we consider the bounds of the eigenvalues for a class of polyharmonic operators and obtain the bounds for (n+1)th eigenvalue interm of the firstn eigenvalues. Those estimates do not depend on the domain in which the problem is considered. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Inequalities for eigenvalues of the polyharmonic operator Δ p

Acta Mathematicae Applicatae Sinica , Volume 3 (1) – Aug 6, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1987 by Science Press, Beijing, China and Allerton Press, Inc. New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02112644
Publisher site
See Article on Publisher Site

Abstract

In this paper we consider the bounds of the eigenvalues for a class of polyharmonic operators and obtain the bounds for (n+1)th eigenvalue interm of the firstn eigenvalues. Those estimates do not depend on the domain in which the problem is considered.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Aug 6, 2005

References