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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2010, Volume 152, Book 1, Pages 155–163 (Mi uzku817)  
This article is cited in 6 scientific papers (total in 6 papers)

Existence of solutions for quasilinear elliptic boundary value problem in the presence of point sources

O. A. Zadvornov

Kazan State University, The Faculty of Computer Science and Cybernetics
Full-text PDF (209 kB) Citations (6)
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Abstract: The existence of solutions of a quasilinear elliptic boundary value problem in the presence of point sources is investigated. We use an additive selection of the singularity of the right side. Solution of nonlinear problem is sought as the sum of known solution of a linear problem (associated with the original one) with point sources in the right side and the unknown additive term.
Keywords: quasilinear elliptic boundary value problem, point source, monotone operator, existence theorem.
Received: 23.11.2009
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: O. A. Zadvornov, “Existence of solutions for quasilinear elliptic boundary value problem in the presence of point sources”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 152, no. 1, Kazan University, Kazan, 2010, 155–163
Citation in format AMSBIB
\Bibitem{Zad10}
\by O.~A.~Zadvornov
\paper Existence of solutions for quasilinear elliptic boundary value problem in the presence of point sources
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2010
\vol 152
\issue 1
\pages 155--163
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku817}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3145247}
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    • 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
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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