Asymptotic behavior for the principal eigenvalue of a reinforcement problem

DOI10.1080/00036811.2018.1517411zbMath1421.35080arXiv1801.09134OpenAlexW2964342865MaRDI QIDQ5227766

Toshiaki Yachimura

Publication date: 7 August 2019

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

Full work available at URL: https://arxiv.org/abs/1801.09134

zbMATH Keywords

principal eigenvalueelliptic operator with piecewise constant coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Variational methods for eigenvalues of operators (49R05)

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Cites Work

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• Reinforcement problems for elliptic equations and variational inequalities
• Reinforcement of the principal eigenvalue of an elliptic operator
• Two-phase eigenvalue problem on thin domains with Neumann boundary condition.
• Spectral stiff problems in domains surrounded by thin bands: asymptotic and uniform estimates for eigenvalues
• Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition
• Suppression of the Dirichlet Eigenvalues of a Coated Body
• Approximation of Eigenvalues of Elliptic Operators with Discontinuous Coefficients
• On the Eigenvalues of the Laplace Operator on a Thin Set with Neumann Boundary Conditions

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