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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, 2012, Issue 1(26), Pages 251–255
DOI: https://doi.org/10.14498/vsgtu1045 (Mi vsgtu1045) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communication
Differential Equations

On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities

D. K. Potapov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (398 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1045
Abstract: We study the existence of solutions of eigenvalue problems for elliptic equations of the second order with nonlinearity discontinuous with respect to a phase variable. Using the variational method, we receive the theorems on number of solutions for investigated problems. M. A. Gol'dshtik's problem on separated flows of incompressible fluid is considered as an appendix.
Keywords: boundary value problems, elliptic equations, eigenvalue problems, discontinuous nonlinearity, variational method, number of solutions.
Original article submitted 29/XI/2011
revision submitted – 17/II/2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.2
MSC: Primary 35J25; Secondary 35P30, 35J60, 35P15
Language: Russian
Citation: D. K. Potapov, “On number of solutions in eigenvalue 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.], 1(26) (2012), 251–255
Citation in format AMSBIB
\Bibitem{Pot12}
\by D.~K.~Potapov
\paper On number of solutions in eigenvalue 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 2012
\vol 1(26)
\pages 251--255
\mathnet{http://mi.mathnet.ru/vsgtu1045}
\crossref{https://doi.org/10.14498/vsgtu1045}
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  • https://www.mathnet.ru/eng/vsgtu/v126/p251
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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