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Sbornik: Mathematics, 2001, Volume 192, Issue 2, Pages 245–260
DOI: https://doi.org/10.1070/sm2001v192n02ABEH000544 (Mi sm544) 		 
This article is cited in 15 scientific papers (total in 15 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)
English version PDF (405 kB) Citations (15)
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DOI: https://doi.org/10.1070/sm2001v192n02ABEH000544
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.
Received: 24.04.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 2, Pages 87–102
DOI: https://doi.org/10.4213/sm544
Bibliographic databases:
UDC: 517.953
MSC: 35B27, 35J15
Language: English
Original paper language: Russian
Citation: S. E. Pastukhova, “Homogenization of a mixed problem with Signorini condition for an elliptic operator in a perforated domain”, Mat. Sb., 192:2 (2001), 87–102; Sb. Math., 192:2 (2001), 245–260
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:23
    References:47
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