8 Universal Inequalities for the Eigenvalues of the Dirichlet Laplacian

DOI10.1515/9783110550887-008zbMATH Open1376.49053OpenAlexW2610989469MaRDI QIDQ5350550

Mark S. Ashbaugh

Publication date: 1 September 2017

Published in: Shape optimization and spectral theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110550887-008

zbMATH Keywords

Laplacian eigenvaluesDirichlet Laplacianuniversal inequalities

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (9)

Two-term, asymptotically sharp estimates for eigenvalue means of the Laplacian ⋮ More Bounds on Eigenvalue Ratios for Dirichlet Laplacians inNDimensions ⋮ Universal inequalities for the eigenvalues of the biharmonic operator on submanifolds ⋮ Universal inequalities for Dirichlet eigenvalues on discrete groups ⋮ Lower bounds for Dirichlet Laplacians and uncertainty principles ⋮ Universal inequalities for eigenvalues of a system of elliptic equations ⋮ Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds ⋮ Inequalities for eigenfunctions of the $p$-Laplacian ⋮ Universal bounds for eigenvalues of the polydrifting Laplacian operator in compact domains in the \(\mathbb R^n\) and \(\mathbb S^n\)

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