Multiple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach

DOI10.3233/ASY-201605zbMath1473.35373OpenAlexW3008488888MaRDI QIDQ4999986

Massimo Lanza de Cristoforis

Publication date: 5 July 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-201605

zbMATH Keywords

Laplace operatorsingularly perturbed domainreal analytic continuationmultiple Steklov eigenvalues and eigenfunctions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (1)

On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set

Cites Work

• A real analyticity result for a nonlinear integral operator
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• Perturbation theory for linear operators.
• Asymptotic expansions of eigenvalues and eigenfunctions for elliptic boundary-value problems with rapidly oscillating coefficients in a perforated cube
• Steklov problems in perforated domains with a coefficient of indefinite sign
• Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density
• Simple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach
• Regularizing properties of the double layer potential of second order elliptic differential operators
• Asymptotic expansions for eigenvalues of the Steklov problem in singularly perturbed domains
• Shape Sensitivity Analysis of the Eigenvalues of the Reissner--Mindlin System
• Steklov-type eigenvalues associated with best Sobolev trace constants: domain perturbation and overdetermined systems
• Asymptotic behavior of the solutions of a nonlinear Robin problem for the Laplace operator in a domain with a small hole: a functional analytic approach
• Asymptotic Behavior of Stekloff Eigenvalues and Eigenfunctions
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