Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds

DOI10.2969/jmsj/06220597zbMath1200.53042OpenAlexW2044328635WikidataQ115225207 ScholiaQ115225207MaRDI QIDQ978498

Qiaoling Wang, Chang-Yu Xia

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/06220597

zbMATH Keywords

eigenvaluessphereEuclidean spacecomplex projective spaceminimal submanifoldsuniversal boundsbiharmonic operator with weight

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (2)

Lower bounds of Dirichlet eigenvalues for a class of higher order degenerate elliptic operators ⋮ Inequalities for eigenvalues of the buckling problem of arbitrary order

Cites Work

• Inequalities for eigenvalues of the biharmonic operator
• Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds
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• Proof of the Payne-Pólya-Weinberger conjecture
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