Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds

DOI10.2969/jmsj/06220673zbMath1191.35192OpenAlexW2090756489WikidataQ115225199 ScholiaQ115225199MaRDI QIDQ978503

Shinji Mametsuka, Takamichi Ichikawa, Qing-Ming Cheng

Publication date: 24 June 2010

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06220673

zbMATH Keywords

Riemannian manifolda clamped plate problemuniversal bound for eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

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Cites Work

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• Commutators, Eigenvalue Gaps, and Mean Curvature in the Theory of Schrödinger Operators
• Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds
• Inequalities for eigenvalues of a clamped plate problem

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