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Mathematics of the USSR-Sbornik, 1974, Volume 24, Issue 1, Pages 127–143
DOI: https://doi.org/10.1070/SM1974v024n01ABEH001908 (Mi sm3747) 		 
This article is cited in 9 scientific papers (total in 10 papers)

Analyticity and theorems of Liouville and Phragmén–Lindelöf type for general elliptic systems of differential equations

O. A. Oleinik, E. V. Radkevich
English version PDF (844 kB) Citations (10)
References:
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DOI: https://doi.org/10.1070/SM1974v024n01ABEH001908
Abstract: Certain theorems on the analyticity of solutions of elliptic equations are used to prove theorems on the behavior of solutions of general elliptic systems of differential equations in unbounded regions, analogous to the classical theorems of Liouville and Phragmén–Lindelöf for harmonic functions. Theorems on the uniqueness of the solutions for elliptic boundary-value problems are also proved.
Bibliography: 9 titles.
Received: 21.03.1974
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 95(137), Number 1(9), Pages 130–145
Bibliographic databases:
UDC: 517.946.82
MSC: 35B99, 35J55, 35B45
Language: English
Original paper language: Russian
Citation: O. A. Oleinik, E. V. Radkevich, “Analyticity and theorems of Liouville and Phragmén–Lindelöf type for general elliptic systems of differential equations”, Mat. Sb. (N.S.), 95(137):1(9) (1974), 130–145; Math. USSR-Sb., 24:1 (1974), 127–143
Citation in format AMSBIB
\Bibitem{OleRad74}
\by O.~A.~Oleinik, E.~V.~Radkevich
\paper Analyticity and theorems of Liouville and Phragm\'en--Lindel\"of type for general elliptic systems of differential equations
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 95(137)
\issue 1(9)
\pages 130--145
\mathnet{http://mi.mathnet.ru/sm3747}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=372418}
\zmath{https://zbmath.org/?q=an:0306.35045}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 24
\issue 1
\pages 127--143
\crossref{https://doi.org/10.1070/SM1974v024n01ABEH001908}
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  • https://www.mathnet.ru/eng/sm/v137/i1/p130
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:446
    Russian version PDF:166
    English version PDF:14
    References:53
    First page:2
     
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