Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds

DOI10.1007/s10231-010-0129-2zbMath1200.35200OpenAlexW1997651069WikidataQ115385086 ScholiaQ115385086MaRDI QIDQ711461

Qiaoling Wang, Chang-Yu Xia, Manfredo Perdigão do Carmo

Publication date: 26 October 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-010-0129-2

zbMATH Keywords

eigenvaluessubmanifoldselliptic operatoruniversal boundshypersurfaces in space formsPayne-Pólya-Weinberger-Yang type inequalitieswarped manifolds

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) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (15)

Estimates for eigenvalues of the elliptic operator in divergence form on Riemannian manifolds ⋮ Universal inequalities for lower order eigenvalues of self-adjoint operators and the poly-Laplacian ⋮ Inequalities for lower order eigenvalues of second order elliptic operators in divergence form on Riemannian manifolds ⋮ Estimates for eigenvalues of fourth-order elliptic operators in divergence form ⋮ Estimates for eigenvalues of ℒr operator on self-shrinkers ⋮ Universal inequalities for eigenvalues of a clamped plate problem of the drifting Laplacian ⋮ On eigenvalues of a system of elliptic equations and of the biharmonic operator ⋮ Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian ⋮ Inequalities for eigenvalues of the buckling problem of arbitrary order ⋮ A Reilly inequality for the first non-zero eigenvalue of a class of operators on Riemannian manifold ⋮ Eigenvalue inequalities of elliptic operators in weighted divergence form on smooth metric measure spaces ⋮ Estimates for eigenvalues of a class of fourth order degenerate elliptic operators with a singular potential ⋮ Refined eigenvalue bounds on the Dirichlet fractional Laplacian ⋮ Inequalities for eigenvalues of fourth-order elliptic operators in divergence form on complete Riemannian manifolds ⋮ Estimates for eigenvalues of the bi-drifting Laplacian operator

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