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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 115, Pages 156–168 (Mi znsl4048)  

This article is cited in 6 scientific papers (total in 6 papers)

Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients

V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii
Full-text PDF (561 kB) Citations (6)
Abstract: One constructs examples of strongly elliptic second-order differential equations in the divergence form with measurable bounded complex coefficients in $\mathbb R^n$, $n\ge3$, whose generalized solutions are not bounded in any neighborhood of the origin.
English version:
Journal of Soviet Mathematics, 1985, Volume 28, Issue 5, Pages 726–734
DOI: https://doi.org/10.1007/BF02112337
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii, “Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients”, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Zap. Nauchn. Sem. LOMI, 115, "Nauka", Leningrad. Otdel., Leningrad, 1982, 156–168; J. Soviet Math., 28:5 (1985), 726–734
Citation in format AMSBIB
\Bibitem{MazNazPla82}
\by V.~G.~Maz'ya, S.~A.~Nazarov, B.~A.~Plamenevskii
\paper Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~14
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 115
\pages 156--168
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=660079}
\zmath{https://zbmath.org/?q=an:0498.35033}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 28
\issue 5
\pages 726--734
\crossref{https://doi.org/10.1007/BF02112337}
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  • https://www.mathnet.ru/eng/znsl/v115/p156
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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