Spectral stability for a class of fourth order Steklov problems under domain perturbations

DOI10.1007/s00526-018-1481-0zbMath1414.35071arXiv2103.04202OpenAlexW2907371479WikidataQ128645199 ScholiaQ128645199MaRDI QIDQ1755649

Pier Domenico Lamberti, Alberto Ferrero

Publication date: 10 January 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04202

zbMATH Keywords

Steklov operatorNavier problemperturbations of the domainconvergence of the eigenvaluesDirichlet biharmonic Steklov eigenvalue problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Perturbations in context of PDEs (35B20)

Related Items (9)

Spectral stability of the Steklov problem ⋮ An orthotropic plate model for decks of suspension bridges ⋮ Upper bounds for the Steklov eigenvalues of the p ‐Laplacian ⋮ On the spectral instability for weak intermediate triharmonic problems ⋮ Spectral stability of the curlcurl operator via uniform Gaffney inequalities on perturbed electromagnetic cavities ⋮ From Steklov to Neumann via homogenisation ⋮ On a Babuška paradox for polyharmonic operators: spectral stability and boundary homogenization for intermediate problems ⋮ On the explicit representation of the trace space \(H^{\frac{3}{2}}\) and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems ⋮ The Bilaplacian with Robin Boundary Conditions

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