On differentiability of eigenvalues of second order elliptic operators on non-smooth domains

DOI10.1016/j.jde.2015.02.011zbMath1319.35117OpenAlexW2004219956MaRDI QIDQ2345579

Marcos Montenegro, Julian Haddad

Publication date: 22 May 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.02.011

zbMATH Keywords

second-order elliptic operatornon-smooth domainHadamard formulaeigenvalues problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Eigenvalue problems for linear operators (47A75)

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Cites Work

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• Domain dependence of eigenvalues of elliptic type operators
• On the Hadamard formula for nonsmooth domains
• A nonlinear parabolic equation with varying domain
• Manifolds, tensor analysis, and applications.
• On Hadamard's variational formula
• Eigenvalues of the Laplacian on symmetric regions
• On the perturbed eigenvalue problem
• Perturbazione dello spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo
• Spectral stability of the Neumann Laplacian.
• Dirichlet problems on varying domains.
• Continuous dependence of principal eigenvalues with respect to perturbations of the domain around its Dirichlet boundary.
• The generalized gradient at a multiple eigenvalue
• 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
• Parameter and domain dependence of eigenvalues of elliptic partial differential equations
• Convexity of domain functionals
• On the Hadamard Formula for Second Order Systems in Non-Smooth Domains
• Spectral stability estimates for the eigenfunctions of second order elliptic operators
• The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary
• Generic Properties of Eigenfunctions
• Eigenfunctions of Laplace operators
• Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains
• Continuous dependence of eigenvalues on the domain
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Variation of domain functionals

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