Yang-type inequalities for weighted eigenvalues of a second order uniformly elliptic operator with a nonnegative potential

DOI10.1090/S0002-9939-10-10321-9zbMath1194.35290OpenAlexW2002583336MaRDI QIDQ3581105

He Jun Sun

Publication date: 16 August 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10321-9

zbMATH Keywords

eigenvalueSchrödinger operatorLaplacianelliptic operatoruniversal inequality

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (6)

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 ⋮ Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \) ⋮ Inequalities for lower-order eigenvalues of a fourth-order elliptic operator ⋮ Estimates for weighted eigenvalues of a fourth-order elliptic operator with variable coefficients ⋮ Inequalities for eigenvalues of a system of higher-order differential equations

Cites Work

• Bounds on eigenvalues of Dirichlet Laplacian
• Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds
• Extrinsic estimates for eigenvalues of the Laplace operator
• Eigenvalue estimates on homogeneous manifolds
• The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang
• Estimates on eigenvalues of Laplacian
• Estimates of eigenvalues for uniformly elliptic operator of second order
• Lower order eigenvalues of Dirichlet Laplacian
• Inequalities for eigenvalues of Laplacian on domains and compact complex hypersurfaces in complex projective spaces
• On the Ratio of Consecutive Eigenvalues
• Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators
• Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds
• On trace identities and universal eigenvalue estimates for some partial differential operators
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