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@article{faucris.215929680,
abstract = {In this paper, we study the asymptotic behavior of solutions u(epsilon) of the elliptic variational inequality for the Laplace operator in domains periodically perforated by balls with radius of size C-0 epsilon(alpha), C-0 > 0, alpha is an element of (1, n/n-2] and distributed with period epsilon. On the boundary of the balls, we have the following nonlinear restrictions u(epsilon) >= 0, partial derivative(nu)u(epsilon) >= -epsilon(-gamma) sigma (x, u(epsilon)), u(epsilon)(partial derivative(nu)u(epsilon) + epsilon(-gamma) sigma(x, u(epsilon)) = 0, gamma = alpha (n - 1) - n. The weak convergence of the solutions s to the solution of an effective problem is given. In the critical case alpha = n/n-2, the effective equation contains a nonlinear term which has to be determined as a solution of a functional equation. Furthermore, a corrector result with respect to the energy norm is proved. (C) 2012 Elsevier Ltd. All rights reserved.},
author = {Neuss-Radu, Maria and Jäger, Willi and Shaposhnikova, Tatiana A.},
doi = {10.1016/j.nonrwa.2012.01.027},
faupublication = {no},
journal = {Nonlinear Analysis-Real World Applications},
keywords = {Perforated domains;Small holes;Variational inequality;Nonlinear restrictions;Functional equation},
month = {Jan},
pages = {367-380},
peerreviewed = {Yes},
title = {{Homogenization} of a variational inequality for the {Laplace} operator with nonlinear restriction for the flux on the interior boundary of a perforated domain},
volume = {15},
year = {2014}
}