Homogenization of Steklov spectral problems with indefinite density function in perforated domains

DOI10.1007/s10440-012-9765-4zbMath1263.35022arXiv1106.3904OpenAlexW2023954895MaRDI QIDQ1938002

Hermann Douanla

Publication date: 1 February 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3904

zbMATH Keywords

eigenvalue problemstwo-scale convergence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Eigenvalue problems for integral equations (45C05)

Related Items (4)

Homogenization of Steklov spectral problems with indefinite density function in perforated domains ⋮ Second-order three-scale asymptotic analysis and algorithms for Steklov eigenvalue problems in composite domain with hierarchical cavities ⋮ From Steklov to Neumann via homogenisation ⋮ A general homogenization result of spectral problem for linearized elasticity in perforated domains.

Cites Work

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• Homogenization of the spectral Dirichlet problem for a system of differential equations with rapidly oscillating coefficients and changing sign density
• Homogenization of elliptic eigenvalue problems. I
• Reiterated homogenization of linear eigenvalue problems in multiscale perforated domains beyond the periodic setting
• Two-scale convergence of Stekloff eigenvalue problems in perforated domains
• Homogenization of the spectral problem for periodic elliptic operators with sign-changing density function
• Asymptotics of negative eigenvalues of the Dirichlet problem with the density changing sign
• \(\Sigma\) -convergence of nonlinear parabolic operators
• Homogenization in open sets with holes
• Homogenization of elliptic eigenvalue problems. II
• Homogenization of eigenvalue problems in perforated domains
• Asymptotics of eigenvalues of the Laplacian with small spherical Robin boundary
• Homogenization in perforated domains beyond the periodic setting.
• Elliptic partial differential equations of second order
• Homogenization of Steklov spectral problems with indefinite density function in perforated domains
• Steklov problems in perforated domains with a coefficient of indefinite sign
• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
• On some linear and nonlinear eigenvalue problems with an indefinite weight function
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• UNIFORM SPECTRAL ASYMPTOTICS FOR SINGULARLY PERTURBED LOCALLY PERIODIC OPERATORS
• Homogenization of eigenvalue problems for the laplace operator with nonlinear terms in domains in many tiny holes

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