Two-scale convergence of Stekloff eigenvalue problems in perforated domains

DOI10.1155/2010/853717zbMath1214.47020OpenAlexW2017593015WikidataQ59251850 ScholiaQ59251850MaRDI QIDQ623675

Hermann Douanla

Publication date: 8 February 2011

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226372

zbMATH Keywords

eigenfunctionstwo-scale convergence methodconcise homogenization

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) General theory of partial differential operators (47F05)

Related Items

Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials ⋮ Eigenvalue Fluctuations for Lattice Anderson Hamiltonians ⋮ Simple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach ⋮ Homogenization of Steklov spectral problems with indefinite density function in perforated domains ⋮ Multi-scale modal analysis for axisymmetric and spherical symmetric structures with periodic configurations ⋮ Multiple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach

Cites Work

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• Homogenization in open sets with holes
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• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Homogenization of eigenvalue problems for the laplace operator with nonlinear terms in domains in many tiny holes
• On two-scale convergence