Some upper bounds for sums of eigenvalues of the Neumann Laplacian

DOI10.1090/S0002-9939-06-08355-9zbMath1111.35021MaRDI QIDQ3419909

Lan Tang, Liangpan Li

Publication date: 1 February 2007

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

zbMATH Keywords

Neumann LaplacianWeyl asymptotic formulacompact regular manifolds

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Elliptic equations on manifolds, general theory (58J05)

Related Items (1)

Estimates for sums of eigenvalues of the free plate with nonzero Poisson’s ratio

Cites Work

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• On the Schrödinger equation and the eigenvalue problem
• Upper bounds for the Neumann eigenvalues on a bounded domain in Euclidean space
• Some results related to the Logvinenko-Sereda theorem
• A lower bound for sums of eigenvalues of the Laplacian

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