Comparison theorems for eigenvalues of elliptic operators and the generalized Pólya conjecture

DOI10.1007/s11040-010-9077-8zbMath1253.35089OpenAlexW2106700425WikidataQ123167766 ScholiaQ123167766MaRDI QIDQ430017

Qiaoling Wang, Chang-Yu Xia

Publication date: 20 June 2012

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-010-9077-8

zbMATH Keywords

eigenvaluesEuclidean spaceRiemannian manifoldslower boundselliptic operatorP/'{o}lya conjecture

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• On the Eigenvalues of Vibrating Membranes^†
• A lower bound for sums of eigenvalues of the Laplacian
• Universal Bounds for the Low Eigenvalues of Neumann Laplacians inNDimensions

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