On the Ratio of Consecutive Eigenvalues
From MaRDI portal
Publication:3234728
DOI10.1002/sapm1956351289zbMath0073.08203OpenAlexW1608492828MaRDI QIDQ3234728
Hans F. Weinberger, George Pólya, Lawrence E. Payne
Publication date: 1956
Published in: Journal of Mathematics and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/sapm1956351289
Related Items
The lower and upper bounds of the first eigenvalues for the bi-Laplace operator on Finsler manifolds, `Universal' inequalities for the eigenvalues of the Hodge de Rham Laplacian, Fourier transform, null variety, and Laplacian's eigenvalues, Eigenvalues of the drifting Laplacian on complete noncompact Riemannian manifolds, Estimates of eigenvalues for uniformly elliptic operator of second order, Eigenvalue inequalities for the buckling problem of the drifting Laplacian on Ricci solitons, Extrinsic estimates for the eigenvalues of Schrödinger operator, Universal bounds for eigenvalues of the biharmonic operator, Isoperimetric inequalities for eigenvalues of the Laplacian and the Schrödinger operator, EIGENVALUES OF THE LAPLACIAN ON RIEMANNIAN MANIFOLDS, Inequalities for eigenvalues of the polyharmonic operator \(\Delta ^ p\), Universal bounds for eigenvalues of a buckling problem, Shape recognition using eigenvalues of the Dirichlet Laplacian, Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators, Bounds on eigenvalues of Dirichlet Laplacian, Bounds for the ratios of the first three membrane eigenvalues, The PPW conjecture in curved spaces, Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictly pseudoconvex CR manifold, Sufficient conditions for the continuity of inertial manifolds for singularly perturbed problems, Bounded multiplicity for eigenvalues of a circular vibrating clamped plate, Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces, Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials, Optimization of spectral functions of Dirichlet-Laplacian eigenvalues, Rellich type identities for eigenvalue problems and application to the Pompeiu problem, Universal inequality and upper bounds of eigenvalues for non-integer poly-Laplacian on a bounded domain, Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds, 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 inequalities for eigenvalues of the buckling problem on spherical domains, Bounds for the third membrane eigenvalue, Upper and lower bounds for eigenvalues of the clamped plate problem, Estimates for eigenvalues of fourth-order elliptic operators in divergence form, Bounds for ratios of the membrane eigenvalues, On some isoperimetric inequalities involving eigenvalues of fixed membranes, Inequalities for lower-order eigenvalues of a fourth-order elliptic operator, Rearrangement inequalities and applications to isoperimetric problems for eigenvalues, Spectral optimization problems, A lower bound for eigenvalues of a clamped plate problem, Some eigenvalue inequalities for a class of Jacobi matrices, On eigenvalues of a system of elliptic equations and of the biharmonic operator, Extrinsic estimates for eigenvalues of the Laplace operator, Estimates for weighted eigenvalues of a fourth-order elliptic operator with variable coefficients, Differential inequalities for Riesz means and Weyl-type bounds for eigenvalues, Eigenvalues of Witten-Laplacian on the cigar metric measure spaces, Isoperimetric bound for \(\lambda{}_ 3 /\lambda{}_ 2\) for the membrane problem, Universal bounds for eigenvalues of the polyharmonic operators, Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string, A second eigenvalue bound for the Dirichlet Schrödinger operator, Lower and upper bounds of Dirichlet eigenvalues for totally characteristic degenerate elliptic operators, EIGENVALUE ESTIMATES FOR QUADRATIC POLYNOMIAL OPERATOR OF THE LAPLACIAN, A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space, Estimates for eigenvalues of Laplacian operator with any order, Universal inequalities of the poly-drifting Laplacian on the Gaussian and cylinder shrinking solitons, Inequalities for eigenvalues of the buckling problem of arbitrary order, Neural network solution for an inverse problem associated with the Dirichlet eigenvalues of the anisotropic Laplace operator, A second proof of the Payne-Pólya-Weinberger conjecture, A generalization of a Levitin and Parnovski universal inequality for eigenvalues, Lower order eigenvalues of Dirichlet Laplacian, Inequalities of eigenvalues for the Dirac operator on compact complex spin submanifolds in complex projective spaces, Estimates of the first two buckling eigenvalues on spherical domains, Universal inequalities for the eigenvalues of a power of the Laplace operator, Bounds for functions of eigenvalues of vibrating systems, Estimates on eigenvalues of Laplacian, Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds, Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds, Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds, Estimates for lower order eigenvalues of a clamped plate problem, Inequalities for eigenvalues of the sub-Laplacian on strictly pseudoconvex CR manifolds, Spectral Inequalities for Quantum Graphs, Contraintes rectilignes parallèles et valeurs propres de membranes vibrantes, On extending the inequalities of Payne, Pólya, and Weinberger using spherical harmonics, Universal inequalities for eigenvalues of a clamped plate problem on a hyperbolic space, Extrinsic eigenvalue estimates of Dirac operators on Riemannian manifolds, Unitarization from geometry, On symmetric membranes and conformal radius: Some complements to Polya's and Szegö's inequalities, An upper bound for higher order eigenvalues of symmetric graphs, Extrinsic estimates for eigenvalues of the Dirac operator, Isoperimetric inequalities and the gap between the first and second eigenvalues of an Euclidean domain, On the Ashbaugh-Benguria conjecture about lower-order Dirichlet eigenvalues of the Laplacian, Eigenvalue inequalities for Klein-Gordon operators, On the upper bounds of eigenvalues for a class of systems of ordinary differential equations with higher order, Estimates for eigenvalues of a class of fourth order degenerate elliptic operators with a singular potential, Estimates for eigenvalues on Riemannian manifolds, Asymptotic behavior of solutions of elliptic equations of the second order close to a boundary. I, Inequalities for eigenvalues of fourth order elliptic operators in divergence form on Riemannian manifolds, A proof of the triangular Ashbaugh-Benguria-Payne-Pólya-Weinberger inequality, Universal bounds for eigenvalues of a buckling problem II, Singular solutions for fractional parabolic boundary value problems, Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order, EIGENVALUE ESTIMATES ON DOMAIN OF THE POLYDISK, Inequalities between Dirichlet, Neumann and buckling eigenvalues on Riemannian manifolds, Estimates for eigenvalues of the poly-Laplacian with any order in a unit sphere, Estimates for the eigenvalues of the bi-drifting Laplacian on cigar soliton, Eigenvalues of the drifting Laplacian on smooth metric measure spaces, Commutators, spectral trace identities, and universal estimates for eigenvalues, Eigenvalues of the bi-drifting Laplacian on the complete noncompact Riemannian manifolds, The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang, Symmetrization of functions and principal eigenvalues of elliptic operators, Inequalities for eigenvalues of fourth-order elliptic operators in divergence form on complete Riemannian manifolds, Estimates for eigenvalues of the bi-drifting Laplacian operator, A sharp bound for the ratio of the first two Dirichlet eigenvalues of a domain in a hemisphere of 𝕊ⁿ, Optimal maximal gaps of Dirichlet eigenvalues of Sturm–Liouville operators, Proof of the Payne-Pólya-Weinberger conjecture, Hile-yeh estimates of eigenvalues of polyharmonic operators, Range of the First Three Eigenvalues of the Planar Dirichlet Laplacian, Isoperimetric bounds for higher eigenvalue ratios for the n-dimensional fixed membrane problem, Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \), Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices, Eigenvalue inequalities for the buckling problem of the drifting Laplacian, Construction of self‐adjoint differential operators with prescribed spectral properties, Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem, Unnamed Item, Eigenvalue estimates for a class of elliptic differential operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space, Construction de laplaciens dont une partie finie du spectre est donnée, Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations, Universal inequalities for eigenvalues of a clamped plate problem of the drifting Laplacian, Riemannian metrics with prescribed volume and finite parts of Dirichlet spectrum, On trace identities and universal eigenvalue estimates for some partial differential operators, Unnamed Item, Estimates for the eigenvalues of the bi-drifting Laplacian on complete metric measure spaces, Inequalities for eigenvalues of a clamped plate problem, Inequalities for eigenvalues of a clamped plate problem, ON SEMICLASSICAL AND UNIVERSAL INEQUALITIES FOR EIGENVALUES OF QUANTUM GRAPHS, Bounds for Ratios of Eigenvalues of the Dirichlet Laplacian, Yang-type inequalities for weighted eigenvalues of a second order uniformly elliptic operator with a nonnegative potential, A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains, Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order, Unnamed Item, Two new Weyl-type bounds for the Dirichlet Laplacian, Extrinsic Upper Bounds for Eigenvalues of Dirac-Type Operators, Extremum problems for Laplacian eigenvalues with free boundary, Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds, On conformal spectral gap estimates of the Dirichlet–Laplacian, Unnamed Item, INEQUALITIES FOR EIGENVALUES OF LAPLACIAN WITH ANY ORDER, Estimates for sums and gaps of eigenvalues of Laplacians on measure spaces, Unnamed Item, Spectroscopy of drums and quantum billiards: Perturbative and nonperturbative results, Optimal indirect estimation for linear inverse problems with discretely sampled functional data, On the spectral asymptotics for the buckling problem, Isoperimetric inequalities for the Cauchy-Dirichlet heat operator
