This article is cited in 17 papers

Homogenization of a mixed problem with Signorini condition for an elliptic operator in a perforated domain

S. E. Pastukhova

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)

Abstract: For the case of a 2-connected $\varepsilon$-periodic $(\varepsilon\in(0,1))$ perforated space with a bounded domain $\Omega_\varepsilon$ selected in it the homogenization property as $\varepsilon\to0$ is proved for the boundary-value problem for a second-order elliptic operator in the domain $\Omega_\varepsilon$ with one-sided condition of Signorini type on the boundaries of “cavities” and with Dirichlet condition on the outer boundary.

UDC: 517.953

MSC: 35B27, 35J15

Received: 24.04.2000

DOI: 10.4213/sm544

 English version: Sbornik: Mathematics, 2001, 192:2, 245–260

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