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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 3, Pages 417–421 (Mi jsfu259)  
This article is cited in 1 scientific paper (total in 1 paper)

On elliptic equations with spectral parameter and discontinuous nonlinearity

Dmitry K. Potapov

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, St. Petersburg, Russia
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Abstract: The main boundary problems for elliptic equations of the second order with a spectral parameter and nonlinearity discontinuous with respect to a phase variable are considered. By variational method the theorem on existence the correct solutions for these problems is proved, and the estimates for both a value of the bifurcational parameter and the differential operator are obtained.
Keywords: elliptic boundary problems, spectral parameter, discontinuous nonlinearity, variational method, correct solutions.
Received: 25.08.2011
Received in revised form: 27.10.2011
Accepted: 10.04.2012
Document Type: Article
UDC: 517.95
Language: Russian
Citation: Dmitry K. Potapov, “On elliptic equations with spectral parameter and discontinuous nonlinearity”, J. Sib. Fed. Univ. Math. Phys., 5:3 (2012), 417–421
Citation in format AMSBIB
\Bibitem{Pot12}
\by Dmitry~K.~Potapov
\paper On elliptic equations with spectral parameter and discontinuous nonlinearity
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 3
\pages 417--421
\mathnet{http://mi.mathnet.ru/jsfu259}
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    • This publication is cited in the following 1 articles:
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