Domain dependence of eigenvalues of elliptic type operators

DOI10.1007/s00208-013-0947-9zbMath1292.35186arXiv1203.2093OpenAlexW2128834020MaRDI QIDQ383595

Mohammad Hasan, H. S. Yoon

Publication date: 5 December 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2093

zbMATH Keywords

Dirichlet eigenvaluesasymptotic formulaelliptic operatorsdomain dependence

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (5)

Convergence of Dirichlet eigenvalues for elliptic systems on perturbed domains ⋮ On the principal eigenvalue of the Stokes operator in cylindrical domains ⋮ The preservation of threshold resonances and the splitting off of eigenvalues from the threshold of the continuous spectrum of quantum waveguides ⋮ Hadamard asymptotics for eigenvalues of the Dirichlet Laplacian ⋮ On differentiability of eigenvalues of second order elliptic operators on non-smooth domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Rayleigh's formula for the first Dirichlet eigenvalue of a radial perturbation of a ball
• Hadamard's formula inside and out
• Laplace eigenvalues on regular polygons: a series in \(1/N\)
• On the Hadamard formula for nonsmooth domains
• The Laplacian eigenvalues of a polygon
• Variational methods in shape optimization problems
• \(L^{q}\)-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues
• Spectral stability of Dirichlet second order uniformly elliptic operators
• Convexity of domain functionals
• On the Hadamard Formula for Second Order Systems in Non-Smooth Domains
• The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary

This page was built for publication: Domain dependence of eigenvalues of elliptic type operators