Estimates for weighted eigenvalues of fourth-order elliptic operator with variable coefficients

We investigate the Dirichlet weighted eigenvalue problem for a fourth-order elliptic operator with variable coefficients in a bounded domain in $R^n$. We establish a sharp inequality for its eigenvalues. It yields an estimate for the upper bound of the $(k + 1)$-th eigenvalue in terms of the first...

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Bibliographic Details
Date:2011
Main Authors: Sun, He-Jun, Сун, Хе-Джун
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2011
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2780
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal