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Vladikavkazskii Matematicheskii Zhurnal, 2017, Volume 19, Number 3, Pages 51–58 (Mi vmj624)  

This article is cited in 3 scientific papers (total in 3 papers)

A boundary value problem for higher order elliptic equations in many connected domain on the plane

A. P. Soldatov

National Research University "Belgorod State University"
Full-text PDF (206 kB) Citations (3)
References:
Abstract: For the elliptic equation of 2lth order with constant (and leading) coefficients boundary value a problem with normal derivatives of the (kj1)order, j=1,,l considered. Here 1k1<<kl2l. When kj=j it moves to the Dirichlet problem, and when kj=j+1 it corresponds to the Neumann problem. The sufficient condition of the Fredholm problem and index formula are given.
Key words: elliptic equation, boundary value problem, normal derivatives, many connected domain, smooth contour, Fredholm property, index formula.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.7311.2017/БЧ
Received: 06.07.2017
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. P. Soldatov, “A boundary value problem for higher order elliptic equations in many connected domain on the plane”, Vladikavkaz. Mat. Zh., 19:3 (2017), 51–58
Citation in format AMSBIB
\Bibitem{Sol17}
\by A.~P.~Soldatov
\paper A boundary value problem for higher order elliptic equations in many connected domain on the plane
\jour Vladikavkaz. Mat. Zh.
\yr 2017
\vol 19
\issue 3
\pages 51--58
\mathnet{http://mi.mathnet.ru/vmj624}
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  • https://www.mathnet.ru/eng/vmj624
  • https://www.mathnet.ru/eng/vmj/v19/i3/p51
  • This publication is cited in the following 3 articles:
    1. B. D. Koshanov, A. P. Soldatov, “O razreshimosti obobschennoi zadachi Neimana dlya ellipticheskogo uravneniya vysokogo poryadka v beskonechnoi oblasti”, Posvyaschaetsya 70-letiyu prezidenta RUDN V.M. Filippova, SMFN, 67, no. 3, Rossiiskii universitet druzhby narodov, M., 2021, 564–575  mathnet  crossref
    2. A. P. Soldatov, “On the Fredholm property and index of the generalized Neumann problem”, Differ. Equ., 56:2 (2020), 212–220  crossref  mathscinet  zmath  isi  scopus
    3. A. A. Andreyev, V. P. Padchenko, E. A. Kozlova, “To the 70th anniversary of professor Alexander Pavlovich Soldatov”, Vestn. Samar. Gos. Tekhnicheskogo Univ.-Ser. Fiz.-Mat. Nauka, 22:1 (2018), 15–22  mathnet  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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