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Mathematics of the USSR-Sbornik, 1986, Volume 54, Issue 2, Pages 297–316
DOI: https://doi.org/10.1070/SM1986v054n02ABEH002972 (Mi sm1939) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A theorem on the internal derivative for a weakly degenerate second-order elliptic equation

L. I. Kamynin
English version PDF (1039 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/SM1986v054n02ABEH002972
Abstract: For a second-order elliptic equation admitting a weak degeneracy near the boundary, conditions on the geometry of the boundary and on the order of the degeneracy of the equation are given under which every neighborhood of a boundary point where a solution attains an extremum contains a boundary point where the derivative of the solution in an internal direction is necessarily different from zero.
Bibliography: 12 titles.
Received: 06.12.1983
Bibliographic databases:
UDC: 517.9
MSC: Primary 35J70; Secondary 35B50
Language: English
Original paper language: Russian
Citation: L. I. Kamynin, “A theorem on the internal derivative for a weakly degenerate second-order elliptic equation”, Math. USSR-Sb., 54:2 (1986), 297–316
Citation in format AMSBIB
\Bibitem{Kam85}
\by L.~I.~Kamynin
\paper A~theorem on the internal derivative for a~weakly degenerate second-order elliptic equation
\jour Math. USSR-Sb.
\yr 1986
\vol 54
\issue 2
\pages 297--316
\mathnet{http://mi.mathnet.ru/eng/sm1939}
\crossref{https://doi.org/10.1070/SM1986v054n02ABEH002972}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=783949}
\zmath{https://zbmath.org/?q=an:0593.35048}
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  • https://www.mathnet.ru/eng/sm/v168/i3/p307
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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