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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 6, Pages 1279–1296
DOI: https://doi.org/10.1070/IM1975v009n06ABEH001521 (Mi im2095) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Representation of completely $L$-superharmonic functions

M. V. Novitskii
English version PDF (756 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1975v009n06ABEH001521
Abstract: An infinitely differentiable function $u(x)$ is said to be completely $L$-superharmonic if it satisfies the condition $(-1)^nL^nu(x)\geqslant0$, $n=0,1,2,\dots$, where $L$ is a second-order elliptic operator and belongs to a bounded domain with a sufficiently smooth boundary. An integral representation is given in this paper for such functions, and a study of their analytic nature is carried out.
Bibliography: 17 titles.
Received: 16.05.1974
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1975, Volume 39, Issue 6, Pages 1346–1365
Bibliographic databases:
UDC: 517.5
MSC: Primary 31B05, 31B10; Secondary 35J25, 47F05
Language: English
Original paper language: Russian
Citation: M. V. Novitskii, “Representation of completely $L$-superharmonic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 39:6 (1975), 1346–1365; Math. USSR-Izv., 9:6 (1975), 1279–1296
Citation in format AMSBIB
\Bibitem{Nov75}
\by M.~V.~Novitskii
\paper Representation of completely $L$-superharmonic functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1975
\vol 39
\issue 6
\pages 1346--1365
\mathnet{http://mi.mathnet.ru/im2095}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=407299}
\zmath{https://zbmath.org/?q=an:0314.31009}
\transl
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 6
\pages 1279--1296
\crossref{https://doi.org/10.1070/IM1975v009n06ABEH001521}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:330
    Russian version PDF:78
    English version PDF:12
    References:66
    First page:1
     
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