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Mathematics of the USSR-Sbornik, 1985, Volume 50, Issue 2, Pages 343–367
DOI: https://doi.org/10.1070/SM1985v050n02ABEH002833 (Mi sm2299) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On an approach to the study of qualitative properties of solutions of nondivergence elliptic equations of second order

A. A. Novruzov
English version PDF (1224 kB) Citations (7)
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DOI: https://doi.org/10.1070/SM1985v050n02ABEH002833
Abstract: The author studies some important interior and boundary properties of solutions of linear and quasilinear second order elliptic equations, which may in general be degenerate on the boundary of a (bounded or unbounded) domain. An a priori estimate of the Hölder norm of the solution is obtained, and new theorems are proved on regularity of a boundary point with respect to the Dirichlet problem. The Harnack inequality and Phragmén–Lindelöf type theorems are also proved.
Bibliography: 37 titles.
Received: 28.09.1982
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 122(164), Number 3(11), Pages 360–387
Bibliographic databases:
UDC: 517.944
MSC: Primary 35J25, 35J67, 35B45; Secondary 35J70
Language: English
Original paper language: Russian
Citation: A. A. Novruzov, “On an approach to the study of qualitative properties of solutions of nondivergence elliptic equations of second order”, Mat. Sb. (N.S.), 122(164):3(11) (1983), 360–387; Math. USSR-Sb., 50:2 (1985), 343–367
Citation in format AMSBIB
\Bibitem{Nov83}
\by A.~A.~Novruzov
\paper On an approach to the study of qualitative properties of solutions of nondivergence elliptic equations of second order
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 122(164)
\issue 3(11)
\pages 360--387
\mathnet{http://mi.mathnet.ru/sm2299}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=721394}
\zmath{https://zbmath.org/?q=an:0599.35050|0541.35022}
\transl
\jour Math. USSR-Sb.
\yr 1985
\vol 50
\issue 2
\pages 343--367
\crossref{https://doi.org/10.1070/SM1985v050n02ABEH002833}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:371
    Russian version PDF:117
    English version PDF:15
    References:58
     
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