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Ufa Mathematical Journal, 2013, Volume 5, Issue 2, Pages 56–62
DOI: https://doi.org/10.13108/2013-5-2-56 (Mi ufa198) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a number of solutions in problems with spectral parameter for equations with discontinuous operators

D. K. Potapov

Saint Petersburg State University, Universitetskaya nab., 7/9, 199034, Saint Petersburg, Russia
English version PDF (330 kB) Citations (2)
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DOI: https://doi.org/10.13108/2013-5-2-56
Abstract: In a real reflexive Banach space we consider a problem on existence of solutions to a problem with a spectral parameter for equations with discontinuous operators. By the variational approach we obtain theorems on the number of the solutions to the considered problems. As an application, we consider main boundary value problems for elliptic equations with a spectral parameter and discontinuous nonlinearities.
Keywords: spectral parameter, discontinuous operator, variational method, number of solutions.
Received: 04.02.2012
Russian version:
Ufimskii Matematicheskii Zhurnal, 2013, Volume 5, Issue 2, Pages 56–62
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: 47J10, 47J30, 35P30, 35J60, 35J20
Language: English
Original paper language: Russian
Citation: D. K. Potapov, “On a number of solutions in problems with spectral parameter for equations with discontinuous operators”, Ufimsk. Mat. Zh., 5:2 (2013), 56–62; Ufa Math. J., 5:2 (2013), 56–62
Citation in format AMSBIB
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\by D.~K.~Potapov
\paper On a number of solutions in problems with spectral parameter for equations with discontinuous operators
\jour Ufimsk. Mat. Zh.
\yr 2013
\vol 5
\issue 2
\pages 56--62
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3430776}
\elib{https://elibrary.ru/item.asp?id=19063036}
\transl
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 2
\pages 56--62
\crossref{https://doi.org/10.13108/2013-5-2-56}
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  • https://www.mathnet.ru/eng/ufa/v5/i2/p56
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Уфимский математический журнал
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    Russian version PDF:124
    English version PDF:20
    References:97
    First page:2
     
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