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This article is cited in 1 scientific paper (total in 1 paper)
Behavior of solutions to elliptic equations with non-power nonlinearities in unbounded domains
R. Kh. Karimova, L. M. Kozhevnikovaab, A. A. Khadzhic a Sterlitamak Branch of Bashkir State University
b Elabuga Branch of Kazan (Volga Region) Federal University
c Tyumen State University
Abstract:
We establish estimates characterizing the decay rate as $|x|\to\infty$ of solutions to the Dirichlet problems in unbounded domains for a certain class of elliptic equations with non-power nonlinearities.
Keywords:
anisotropic elliptic equations, non-power nonlinearity, Sobolev–Orlicz space, unbounded domain.
Received: 19.11.2015
Citation:
R. Kh. Karimov, L. M. Kozhevnikova, A. A. Khadzhi, “Behavior of solutions to elliptic equations with non-power nonlinearities in unbounded domains”, Ufa Math. J., 8:3 (2016), 95–108
Linking options:
https://www.mathnet.ru/eng/ufa327https://doi.org/10.13108/2016-8-3-95 https://www.mathnet.ru/eng/ufa/v8/i3/p99
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Abstract page: | 351 | Russian version PDF: | 118 | English version PDF: | 9 | References: | 49 |
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