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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 1, Pages 51–61 (Mi ivm8767)  
This article is cited in 1 scientific paper (total in 1 paper)

To the theory of boundary problems for elliptic equations with superposition operators in the boundary condition

A. K. Ratyni

Chair of Higher Mathematics, Ivanovo State University of Chemistry and Technology, Ivanovo, Russia
Full-text PDF (212 kB) Citations (1)
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Abstract: We study the existence, uniqueness, and constant sign property of classical solutions to a nonlocal boundary value problem for a second-order elliptic equation in a bounded domain of the Euclidean space. Using the system of maps that define superposition operators, we construct some subset of the domain boundary and establish the connection between the solvability of the problem under consideration and the solvability of the boundary value equation on the constructed subset.
Keywords: nonlocal problem, subset of boundary, solvability of the boundary value equation.
Received: 30.11.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 1, Pages 44–53
DOI: https://doi.org/10.3103/S1066369X13010052
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. K. Ratyni, “To the theory of boundary problems for elliptic equations with superposition operators in the boundary condition”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 1, 51–61; Russian Math. (Iz. VUZ), 57:1 (2013), 44–53
Citation in format AMSBIB
\Bibitem{Rat13}
\by A.~K.~Ratyni
\paper To the theory of boundary problems for elliptic equations with superposition operators in the boundary condition
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 1
\pages 51--61
\mathnet{http://mi.mathnet.ru/ivm8767}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 1
\pages 44--53
\crossref{https://doi.org/10.3103/S1066369X13010052}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872392817}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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