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This article is cited in 2 scientific papers (total in 2 papers)
Positive solutions of superlinear elliptic problems with discontinuous non-linearities
V. N. Pavlenkoa, D. K. Potapovb a Chelyabinsk State University
b Saint Petersburg State University
Abstract:
We consider an elliptic boundary-value problem with a homogeneous Dirichlet boundary condition,
a parameter and a discontinuous non-linearity. The positive parameter
appears as a multiplicative term in the non-linearity, and the problem
has a zero solution for any value of the parameter. The non-linearity has
superlinear growth at infinity. We prove the existence of positive solutions by a topological method.
Keywords:
superlinear elliptic problem, parameter, discontinuous non-linearity, positive solution, topological method.
Received: 14.12.2019 Revised: 14.07.2020
Citation:
V. N. Pavlenko, D. K. Potapov, “Positive solutions of superlinear elliptic problems with discontinuous non-linearities”, Izv. RAN. Ser. Mat., 85:2 (2021), 95–112; Izv. Math., 85:2 (2021), 262–278
Linking options:
https://www.mathnet.ru/eng/im9000https://doi.org/10.1070/IM9000 https://www.mathnet.ru/eng/im/v85/i2/p95
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Abstract page: | 346 | Russian version PDF: | 68 | English version PDF: | 26 | Russian version HTML: | 113 | References: | 48 | First page: | 12 |
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