Universal Bounds for the Low Eigenvalues of Neumann Laplacians inNDimensions

DOI10.1137/0524034zbMath0796.35122OpenAlexW1988830819WikidataQ59158290 ScholiaQ59158290MaRDI QIDQ5287962

Mark S. Ashbaugh, Rafael D. Benguria

Publication date: 9 August 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0524034

zbMATH Keywords

zeros of Bessel functionsuniversal eigenvalue inequalitieseigenvalues of Neumann Laplacians

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (33)

The spectral estimates for the Neumann-Laplace operator in space domains ⋮ Two balls maximize the third Neumann eigenvalue in hyperbolic space ⋮ Space quasiconformal mappings and Neumann eigenvalues in fractal type domains ⋮ Szegö-Weinberger type inequalities for symmetric domains in simply connected space forms ⋮ On some isoperimetric inequalities involving eigenvalues of symmetric free membranes ⋮ \((p,q)\)-extended Bessel and modified Bessel functions of the first kind ⋮ A short note on universal inequalities for certain potential operators ⋮ Estimates for eigenvalues of the Neumann and Steklov problems ⋮ Unnamed Item ⋮ A sharp estimate for Neumann eigenvalues of the Laplace–Beltrami operator for domains in a hemisphere ⋮ Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem ⋮ The upper bound of the harmonic mean of the Steklov eigenvalues in curved spaces ⋮ Maximizers beyond the hemisphere for the second Neumann eigenvalue ⋮ An upper bound on the hot spots constant ⋮ On low eigenvalues of the Laplacian with mixed boundary conditions ⋮ Sums of Laplace eigenvalues-rotationally symmetric maximizers in the plane ⋮ Comparison theorems for eigenvalues of elliptic operators and the generalized Pólya conjecture ⋮ On a conjecture of Ashbaugh and Benguria about lower eigenvalues of the Neumann Laplacian ⋮ A lower bound for eigenvalues of a clamped plate problem ⋮ Inequalities for eigenvalues of a clamped plate problem ⋮ A universal bound for lower Neumann eigenvalues of the Laplacian ⋮ Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian ⋮ Maximizing Neumann fundamental tones of triangles ⋮ Unnamed Item ⋮ Two new Weyl-type bounds for the Dirichlet Laplacian ⋮ On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains ⋮ On the Ashbaugh-Benguria conjecture about lower-order Dirichlet eigenvalues of the Laplacian ⋮ Isoperimetric inequalities of the fourth order Neumann eigenvalues ⋮ On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian ⋮ Sums of Laplace eigenvalues: Rotations and tight frames in higher dimensions ⋮ Some inequalities involving eigenvalues of the Neumann Laplacian ⋮ SHARP CONSTANTS IN THE POINCARÉ, STEKLOV AND RELATED INEQUALITIES (A SURVEY) ⋮ Szegö--Weinberger Type Inequalities for Symmetric Domains with Holes

This page was built for publication: Universal Bounds for the Low Eigenvalues of Neumann Laplacians inNDimensions