Remainder estimates for the asymptotics of elliptic eigenvalue problems with indefinite weights

DOI10.1007/BF00276913zbMath0632.35054MaRDI QIDQ1095316

Jacqueline Fleckinger-Pellé, Michel L. Lapidus

Publication date: 1987

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

weight functionprincipal partDirichletNeumannorder 2masymptotic behavior of the eigenvaluesremainder estimatesBrowder-Gårding densitymaximum-minimum principlepositive selfadjoint elliptic operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Variational methods for second-order elliptic equations (35J20) Variational methods for higher-order elliptic equations (35J35)

Related Items

Asymptotic behavior of the curves in the Fučík spectrum, Eigenvalue asymptotics of Schrödinger operators with only discrete spectrum, Eigenvalue asymptotics for a non-selfadjoint elliptic problem involving an indefinite weight, On an A Priori Estimate for Solutions of an Elliptic Equation, On the eigenvalue asymptotics for a nonselfadjoint elliptic problem involving an indefinite weight, A priori bounds for solutions of an elliptic equation, Asymptotic behavior of the eigenvalues of the one-dimensional weighted \(p\)-Laplace operator, Indefinite elliptic spectral problems, Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture, Non-selfadjoint elliptic problems involving an ndeefinite weight, Indefinite Elliptic Boundary Value Problems on Irregular Domains, Elliptic Problems Involving an Indefinite Weight, An overview of complex fractal dimensions: from fractal strings to fractal drums, and back

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the distribution of eigenvalues of Schrödinger operators
• On the principal eigenvalue of a second order linear elliptic problem
• Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
• A sharp asymptotic remainder estimate for the eigenvalues of the Laplacian in a domain of \(R^3\)
• On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators
• The spectral function of an elliptic operator
• Eigenvalues of Elliptic Boundary Value Problems With an Indefinite Weight Function
• On the Asymptotic Distribution of Eigenvalues of some Nonselfadjoint Problems
• An Estimate Near the Boundary for the Spectral Function of the Laplace Operator
• Meillieurs estimations asymptotiques des restes de la fonctionn spectrale et des valeurs propres relatifs au laplacien.
• On some linear and nonlinear eigenvalue problems with an indefinite weight function