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Contemporary Mathematics. Fundamental Directions, 2017, Volume 63, Issue 3, Pages 475–493
DOI: https://doi.org/10.22363/2413-3639-2017-63-3-475-493 (Mi cmfd330) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On entropy solutions of anisotropic elliptic equations with variable nonlinearity indices

L. M. Kozhevnikovaab

a Sterlitamak Branch of Bashkir State University, 37 Lenina av., 453103 Sterlitamak, Russia
b Elabuga Branch of Kazan Federal University, 89 Kazanskaya st., 423604 Elabuga, Russia
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DOI: https://doi.org/10.22363/2413-3639-2017-63-3-475-493
Abstract: For a certain class of second-order anisotropic elliptic equations with variable nonlinearity indices and $L_1$ right-hand side we consider the Dirichlet problem in arbitrary unbounded domains. We prove the existence and uniqueness of entropy solutions in anisotropic Sobolev spaces with variable indices.
Document Type: Article
UDC: 517.956.25
Language: Russian
Citation: L. M. Kozhevnikova, “On entropy solutions of anisotropic elliptic equations with variable nonlinearity indices”, Differential and functional differential equations, CMFD, 63, no. 3, Peoples' Friendship University of Russia, M., 2017, 475–493
Citation in format AMSBIB
\Bibitem{Koz17}
\by L.~M.~Kozhevnikova
\paper On entropy solutions of anisotropic elliptic equations with variable nonlinearity indices
\inbook Differential and functional differential equations
\serial CMFD
\yr 2017
\vol 63
\issue 3
\pages 475--493
\publ Peoples' Friendship University of Russia
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd330}
\crossref{https://doi.org/10.22363/2413-3639-2017-63-3-475-493}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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