Homogenization of the mixed boundary-value problem for a formally selfadjoint elliptic system in a periodically punched domain

DOI10.1090/S1061-0022-2010-01108-7zbMath1200.35100OpenAlexW2049553417MaRDI QIDQ3586764

Antonio Corbo Esposito, Giuseppe Cardone, Sergueï A. Nazarov

Publication date: 1 September 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2010-01108-7

zbMATH Keywords

rate of convergencehomogenizationformally selfadjoint elliptic systemGårding-Korn inequality

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for second-order elliptic systems (35J57)

Related Items (2)

On the rate of convergence for perforated plates with a small interior Dirichlet zone ⋮ Homogenization of Kirchhoff plates with oscillating edges and point supports

Cites Work

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• The weighted Korn inequality: The tetris procedure that serves for an arbitrary periodic plate.
• Self-adjoint elliptic boundary-value problems. The polynomial property and formally positive operators
• Korn inequalities for elastic junctions of massive bodies, thin plates, and rods
• Asymptotics of the solution of the problem of deformation of an arbitrary locally periodic thin plate
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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