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Mathematics of the USSR-Sbornik, 1991, Volume 68, Issue 1, Pages 61–83
DOI: https://doi.org/10.1070/SM1991v068n01ABEH001196
(Mi sm1657)
 

This article is cited in 8 scientific papers (total in 8 papers)

On an integral equation for the Dirichlet problem in a plane domain with cusps on the boundary

V. G. Maz'ya, A. A. Soloviev
References:
Abstract: Integral equations for the Dirichlet problem for the Laplace operator are studied in a plane domain whose boundary has interior or exterior peaks with tangency of first order. Theorems on unique solvability and asymptotics of solutions near the peaks are presented.
Bibliography: 8 titles.
Received: 19.09.1988
Russian version:
Matematicheskii Sbornik, 1989, Volume 180, Number 9, Pages 1211–1233
Bibliographic databases:
UDC: 539.3
MSC: 31A25, 35J05, 45A05
Language: English
Original paper language: Russian
Citation: V. G. Maz'ya, A. A. Soloviev, “On an integral equation for the Dirichlet problem in a plane domain with cusps on the boundary”, Mat. Sb., 180:9 (1989), 1211–1233; Math. USSR-Sb., 68:1 (1991), 61–83
Citation in format AMSBIB
\Bibitem{MazSol89}
\by V.~G.~Maz'ya, A.~A.~Soloviev
\paper On an integral equation for the Dirichlet problem in a~plane domain with cusps on the boundary
\jour Mat. Sb.
\yr 1989
\vol 180
\issue 9
\pages 1211--1233
\mathnet{http://mi.mathnet.ru/sm1657}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1017822}
\zmath{https://zbmath.org/?q=an:0683.45002|0709.45010}
\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 68
\issue 1
\pages 61--83
\crossref{https://doi.org/10.1070/SM1991v068n01ABEH001196}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991EX22700004}
Linking options:
  • https://www.mathnet.ru/eng/sm1657
  • https://doi.org/10.1070/SM1991v068n01ABEH001196
  • https://www.mathnet.ru/eng/sm/v180/i9/p1211
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:531
    Russian version PDF:164
    English version PDF:21
    References:74
    First page:1
     
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