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This article is cited in 8 scientific papers (total in 8 papers)
Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics
Solutions of anisotropic elliptic equations in unbounded domains
L. M. Kozhevnikova, A. A. Khadzhi Sterlitamak Branch of Bashkir State University, Sterlitamak, 453103, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In the paper the Dirichlet problem for an anisotropic quasilinear elliptic equations of the second order is considered. The upper estimates for the generalized solution of this Dirichlet problem are received, the closeness is proved for the isotropic case.
Keywords:
Dirichlet problem, anisotropic equation, quasilinear elliptic equation, generalized solution, unbounded domain, decrease of the solution, existence of solution, uniqueness of the solution, Harnack inequality, domain of rotation.
Original article submitted 14/XI/2012 revision submitted – 17/I/2013
Citation:
L. M. Kozhevnikova, A. A. Khadzhi, “Solutions of anisotropic elliptic equations in unbounded domains”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 90–96
Linking options:
https://www.mathnet.ru/eng/vsgtu1163 https://www.mathnet.ru/eng/vsgtu/v130/p90
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