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Eigenvalue estimates on domains in complete noncompact Riemannian manifolds

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Publication:411904
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DOI10.2140/pjm.2012.255.41zbMath1236.35097OpenAlexW1976988048WikidataQ115230599 ScholiaQ115230599MaRDI QIDQ411904

Tao Zheng, Da-Guang Chen, Min Lu

Publication date: 2 May 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://msp.berkeley.edu/pjm/2012/255-1/p03.xhtml


zbMATH Keywords

Dirichlet problemeigenvaluesLaplacianclamped plate problemuniversal inequality


Mathematics Subject Classification ID

Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


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Estimates for the higher eigenvalues of the drifting Laplacian on Hadamard manifolds ⋮ Fundamental tones of clamped plates in nonpositively curved spaces ⋮ Universal inequalities on complete noncompact smooth metric measure spaces ⋮ Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices ⋮ Eigenvalues of the bi-drifting Laplacian on the complete noncompact Riemannian manifolds



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