Reinforcement of the principal eigenvalue of an elliptic operator

DOI10.1007/BF00283252zbMath0439.35052MaRDI QIDQ1142365

Avner Friedman

Publication date: 1980

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

zbMATH Keywords

Dirichlet problemelliptic operatorcharacteristicsreinforcementprincipal eigenvalue as function of reinforcing parametersthick reinforcement

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (14)

Lifespan of effective boundary conditions for the heat equation ⋮ An optimal insulation problem ⋮ On the shape sensitivity of the first Dirichlet eigenvalue for two-phase problems ⋮ Asymptotic behavior of Robin problem for heat equation on a coated body ⋮ On the solutions of linear elliptic equations in exterior domains ⋮ On an inverse Robin spectral problem ⋮ Error estimates and lifespan of effective boundary conditions for 2-dimensional optimally aligned coatings ⋮ REINFORCEMENT OF THE POISSON EQUATION BY A THIN LAYER ⋮ Asymptotic behavior of Dirichlet eigenvalues on a body coated by functionally graded material ⋮ Asymptotic analysis of a Dirichlet problem for the heat equation on a coated body ⋮ Asymptotic behavior for the principal eigenvalue of a reinforcement problem ⋮ Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation ⋮ On the optimal insulation of conductors ⋮ An optimization problem in thermal insulation with Robin boundary conditions

Cites Work

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• Reinforcement problems in elasto-plasticity
• Principio di massimo per soluzioni di equazioni ellittiche del secondo ordine di tipo Cordes
• Problèmes de perturbations lies aux phénomènes de conduction à travers des couches minces de grande resistivite
• A remark on the preceding paper of Amann

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