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Mathematics of the USSR-Sbornik, 1989, Volume 63, Issue 1, Pages 219–228
DOI: https://doi.org/10.1070/SM1989v063n01ABEH003269 (Mi sm1697) 		 
Some estimates of the solution of the Neumann problem, and the modulus of continuity of a conformal mapping

N. S. Nadirashvili
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DOI: https://doi.org/10.1070/SM1989v063n01ABEH003269
Abstract: New estimates are established for the Hölder norm of generalized solutions of the Neumann problem in a planar domain. The estimates obtained for the solution of the Neumann problem are used to investigate the modulus of continuity of a conformal mapping near the boundary.
Bibliography: 8 titles.
Received: 26.05.1985 and 17.04.1986
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1988, Volume 135(177), Number 2, Pages 225–234
Bibliographic databases:
UDC: 517.9+517.54
MSC: Primary 35J25, 35B45; Secondary 26A15, 26B35
Language: English
Original paper language: Russian
Citation: N. S. Nadirashvili, “Some estimates of the solution of the Neumann problem, and the modulus of continuity of a conformal mapping”, Mat. Sb. (N.S.), 135(177):2 (1988), 225–234; Math. USSR-Sb., 63:1 (1989), 219–228
Citation in format AMSBIB
\Bibitem{Nad88}
\by N.~S.~Nadirashvili
\paper Some estimates of the solution of the Neumann problem, and the modulus of continuity of a conformal mapping
\jour Mat. Sb. (N.S.)
\yr 1988
\vol 135(177)
\issue 2
\pages 225--234
\mathnet{http://mi.mathnet.ru/sm1697}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=937808}
\zmath{https://zbmath.org/?q=an:0699.35060|0663.35018}
\transl
\jour Math. USSR-Sb.
\yr 1989
\vol 63
\issue 1
\pages 219--228
\crossref{https://doi.org/10.1070/SM1989v063n01ABEH003269}
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:140
    English version PDF:15
    References:77
    First page:3
     
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