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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 80, Issue 1, Pages 191–209
DOI: https://doi.org/10.1070/SM1995v080n01ABEH003520 (Mi sm1019) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Asymptotics of solutions of nonlinear elliptic problems in perforated domains

I. V. Skrypnik
English version PDF (677 kB) Citations (23)
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DOI: https://doi.org/10.1070/SM1995v080n01ABEH003520
Abstract: For a series of nonlinear Dirichlet problems in regions with a finely grained boundary, it is proved that the remainder term of an asymptotic expansion converges uniformly to zero. The proof is based on pointwise estimates of solutions of model nonlinear problems.
Received: 10.10.1993
Russian version:
Matematicheskii Sbornik, 1993, Volume 184, Number 10, Pages 67–90
Bibliographic databases:
UDC: 514.946
MSC: 35J65, 35B40
Language: English
Original paper language: Russian
Citation: I. V. Skrypnik, “Asymptotics of solutions of nonlinear elliptic problems in perforated domains”, Mat. Sb., 184:10 (1993), 67–90; Russian Acad. Sci. Sb. Math., 80:1 (1995), 191–209
Citation in format AMSBIB
\Bibitem{Skr93}
\by I.~V.~Skrypnik
\paper Asymptotics of solutions of nonlinear elliptic problems in perforated domains
\jour Mat. Sb.
\yr 1993
\vol 184
\issue 10
\pages 67--90
\mathnet{http://mi.mathnet.ru/sm1019}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1249414}
\zmath{https://zbmath.org/?q=an:0832.35053}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 80
\issue 1
\pages 191--209
\crossref{https://doi.org/10.1070/SM1995v080n01ABEH003520}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995QH35500010}
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  • https://www.mathnet.ru/eng/sm/v184/i10/p67
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:412
    Russian version PDF:137
    English version PDF:17
    References:67
    First page:2
     
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