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This article is cited in 3 scientific papers (total in 3 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
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
Citation:
D. K. Potapov, “On a number of solutions in problems with spectral parameter for equations with discontinuous operators”, Ufa Math. J., 5:2 (2013), 56–62
Linking options:
https://www.mathnet.ru/eng/ufa198https://doi.org/10.13108/2013-5-2-56 https://www.mathnet.ru/eng/ufa/v5/i2/p56
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Abstract page: | 410 | Russian version PDF: | 132 | English version PDF: | 22 | References: | 98 | First page: | 2 |
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