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Applicable Analysis
An International Journal
Volume 71, 1998 - Issue 1-4
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Original Articles

Some homogenization problems for the system of elasticity with nonlinear boundary conditions in perforated domains

G. A. Yosifian Institute for Problems in Mechanics, Russian Academy of Sciences, Russia, Moscow, 117526 E-mail: [email protected]
Pages 379-411 | Received 01 Aug 1998, Published online: 20 Jan 2011

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D. Gómez, M. Lobo, M.E. Pérez & T.A. Shaposhnikova. (2013) Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds. Applicable Analysis 92:2, pages 218-237.
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G. Cardone, A. Corbo Esposito & S.A. Nazarov. (2009) Korn's inequality for periodic solids and convergence rate of homogenization. Applicable Analysis 88:6, pages 847-876.
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Articles from other publishers (7)

Changqing Ye, Junzhi Cui & Hao Dong. (2021) Asymptotic Analysis of Nonlinear Robin-Type Boundary Value Problems with Small Periodic Structure. Multiscale Modeling & Simulation 19:2, pages 830-845.
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Anca Capatina & Claudia Timofte. (2016) Homogenization results for micro-contact elasticity problems. Journal of Mathematical Analysis and Applications 441:1, pages 462-474.
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Willi Jäger, Maria Neuss-Radu & Tatiana A. Shaposhnikova. (2014) Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain. Nonlinear Analysis: Real World Applications 15, pages 367-380.
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W. Jäger, M. Neuss-Radu & T. A. Shaposhnikova. (2011) Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain — the influence of the scaling on the nonlinearity in the effective sink-source term. Journal of Mathematical Sciences 179:3, pages 446-459.
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Delfina Gómez, Miguel Lobo, M. Eugenia Pérez & Tatiana A. Shaposhnikova. (2011) Averaging in variational inequalities with nonlinear restrictions along manifolds. Comptes Rendus Mécanique 339:6, pages 406-410.
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W. Jäger, M. Neuss-Radu & T. A. Shaposhnikova. (2011) Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling. Doklady Mathematics 83:2, pages 204-208.
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Григорий Андроникович Иосифьян & Grigorii Andronikovich Iosif'yan. (2004) Об усреднении задач теории упругости с краевыми условиями СиньориниHomogenization of Elasticity Problems with Boundary Conditions of Signorini type. Математические заметки Matematicheskie Zametki 75:6, pages 818-833.
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