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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2010, Issue 5(21), Pages 268–271
DOI: https://doi.org/10.14498/vsgtu800 (Mi vsgtu800) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Short Communication
Differential Equations

Estimations of a Differential Operator in Spectral Parameter Problems for Elliptic Equations with Discontinuous Nonlinearities

D. K. Potapov

Dept. of Higher Mathematics, Saint-Petersburg State University, Faculty of Applied Mathematics and Control Processes, Saint-Petersburg
Full-text PDF (159 kB) Citations (7)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu800
Abstract: The basic boundary value problems for semilinear equations of elliptic type with a spectral parameter and discontinuous nonlinearity are considered in a bounded domain with a sufficiently smooth boundary. The parameter values for which the corresponding problem has the nonzero solution are called eigenvalues. The existence of eigenvalue problem solutions for equations of elliptic type with discontinuous nonlinearities is considered in this paper. Estimations of the differential operator are obtained for these problems.
Keywords: boundary value problems, equations of elliptic type, spectral parameter, discontinuous nonlinearity, estimations of differential operator.
Original article submitted 21/VI/2010
revision submitted – 06/VII/2010
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35J25, 35J60, 35P30
Language: Russian
Citation: D. K. Potapov, “Estimations of a Differential Operator in Spectral Parameter Problems for Elliptic Equations with Discontinuous Nonlinearities”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 268–271
Citation in format AMSBIB
\Bibitem{Pot10}
\by D.~K.~Potapov
\paper Estimations of a Differential Operator in Spectral Parameter Problems for Elliptic Equations with Discontinuous Nonlinearities
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 5(21)
\pages 268--271
\mathnet{http://mi.mathnet.ru/vsgtu800}
\crossref{https://doi.org/10.14498/vsgtu800}
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  • https://www.mathnet.ru/eng/vsgtu/v121/p268
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :187
    References:65
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