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Sbornik: Mathematics, 2002, Volume 193, Issue 3, Pages 409–422
DOI: https://doi.org/10.1070/SM2002v193n03ABEH000638 (Mi sm638) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the homogenization of semilinear elliptic operators in perforated domains

H. Matevossian, S. V. Pikulin

M. V. Lomonosov Moscow State University
English version PDF (177 kB) Citations (7)
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DOI: https://doi.org/10.1070/SM2002v193n03ABEH000638
Abstract: A second-order semilinear elliptic equation whose lower term has power-like growth at infinity with respect to the unknown function is considered. It is proved that a sequence of its solutions in perforated domains converges to a solution in the non-perforated domain as the diameters of the holes converge to zero with a rate depending on the power exponent of the lower term.
Received: 27.12.2000
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 3, Pages 101–114
DOI: https://doi.org/10.4213/sm638
Bibliographic databases:
UDC: 517.95
MSC: Primary 35B27; Secondary 35J60
Language: English
Original paper language: Russian
Citation: H. Matevossian, S. V. Pikulin, “On the homogenization of semilinear elliptic operators in perforated domains”, Mat. Sb., 193:3 (2002), 101–114; Sb. Math., 193:3 (2002), 409–422
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:236
    English version PDF:13
    References:65
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