Inequalities for eigenvalues of the polyharmonic operator \(\Delta ^ p\)
type: Item
instance of: scholarly article
title: Inequalities for eigenvalues of the polyharmonic operator \(\Delta ^ p\)
zbMATH Open document ID: 0637.35062
DOI: 10.1007/BF02112644
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1987-01-01T00:00:00Z
review text: We consider the bounds of the eigenvalues for a class of polyharmonic operators and obtain the bounds for the \((n+1)th\) eigenvalue in terms of the first n eigenvalues. Those estimates do not depend on the domain in which the problem is considered.
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 31B30
zbMATH DE Number: 4038361
zbMATH Keywords: bounds of the eigenvalues
zbMATH Keywords: polyharmonic operators
author: Zu-Chi Chen
MaRDI profile type: Publication
cites work: On the Ratio of Consecutive Eigenvalues
cites work: Q3901898
cites work: Inequalities for eigenvalues of the biharmonic operator
full work available at URL: https://doi.org/10.1007/bf02112644
OpenAlex ID: W1965749136
description: scientific article; zbMATH DE number 4038361