More Bounds on Eigenvalue Ratios for Dirichlet Laplacians inNDimensions
From MaRDI portal
Publication:4274476
DOI10.1137/0524091zbMath0809.35067OpenAlexW1994481764WikidataQ59158285 ScholiaQ59158285MaRDI QIDQ4274476
Mark S. Ashbaugh, Rafael D. Benguria
Publication date: 29 March 1995
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0524091
Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items
Extrinsic estimates for the eigenvalues of Schrödinger operator ⋮ EIGENVALUES OF THE LAPLACIAN ON RIEMANNIAN MANIFOLDS ⋮ Universal inequalities for eigenvalues of a system of elliptic equations of the drifting Laplacian ⋮ Bounds on eigenvalues of Dirichlet Laplacian ⋮ ``Best possible upper bounds for the first two positive zeros of the Bessel function \(J_ \nu (x)\): The infinite case ⋮ 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 ⋮ Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \) ⋮ Bounds for ratios of the membrane eigenvalues ⋮ The upper bound of the harmonic mean of the Steklov eigenvalues in curved spaces ⋮ On low eigenvalues of the Laplacian with mixed boundary conditions ⋮ Inequalities for lower-order eigenvalues of a fourth-order elliptic operator ⋮ Estimates for the eigenvalues of the bi-drifting Laplacian on complete metric measure spaces ⋮ Differential inequalities for Riesz means and Weyl-type bounds for eigenvalues ⋮ Inequalities for eigenvalues of a clamped plate problem ⋮ Eigenvalues of Witten-Laplacian on the cigar metric measure spaces ⋮ Universal bounds for eigenvalues of the polyharmonic operators ⋮ From Steklov to Neumann and Beyond, via Robin: The Szegő Way ⋮ Lower order eigenvalues of Dirichlet Laplacian ⋮ Bounds for Ratios of Eigenvalues of the Dirichlet Laplacian ⋮ Two new Weyl-type bounds for the Dirichlet Laplacian ⋮ Inequalities for eigenvalues of the sub-Laplacian on strictly pseudoconvex CR manifolds ⋮ On extending the inequalities of Payne, Pólya, and Weinberger using spherical harmonics ⋮ Extremals for eigenvalues of Laplacians under conformal mapping ⋮ On the Ashbaugh-Benguria conjecture about lower-order Dirichlet eigenvalues of the Laplacian ⋮ INEQUALITIES FOR EIGENVALUES OF LAPLACIAN WITH ANY ORDER ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Estimates of eigenvalues of an elliptic differential system in divergence form ⋮ Eigenvalues of the drifting Laplacian on smooth metric measure spaces ⋮ The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang
This page was built for publication: More Bounds on Eigenvalue Ratios for Dirichlet Laplacians inNDimensions