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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
English version PDF (935 kB) Citations (8) Russian version article
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DOI: https://doi.org/10.1070/SM1991v068n01ABEH001196
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
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”, 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 Math. USSR-Sb.
\yr 1991
\vol 68
\issue 1
\pages 61--83
\mathnet{http://mi.mathnet.ru/eng/sm1657}
\crossref{https://doi.org/10.1070/SM1991v068n01ABEH001196}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1017822}
\zmath{https://zbmath.org/?q=an:0683.45002|0709.45010}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991EX22700004}
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  • 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
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    Abstract page:679
    Russian version PDF:204
    English version PDF:140
    References:121
    First page:1
     
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