Inequalities for sums of reciprocals of eigenvalues

DOI10.1006/jmaa.1993.1409zbMath0816.47052OpenAlexW1968241327MaRDI QIDQ1323116

Zhen-Yuan Xu, Gerald N. Hile

Publication date: 3 July 1995

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1409

zbMATH Keywords

Rayleigh quotientinequalities of eigenvalues of differential operatorsLaplace operator on a bounded smooth domainNeuman eigenvalue problemNeuman problem for the Schrödinger operatorPayne-Polya- Weinberger conjecturesesquilinear functionalssums of reciprocals of eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05)

Related Items (5)

Spectral optimization for the Stekloff-Laplacian: The stability issue ⋮ On a conjecture of Ashbaugh and Benguria about lower eigenvalues of the Neumann Laplacian ⋮ Inverse spectral problem for Sturm - Liouville operator with prescribed partial trace ⋮ A few shape optimization results for a biharmonic Steklov problem ⋮ An extremal eigenvalue problem for the Wentzell-Laplace operator

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