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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 3, Pages 429–447
DOI: https://doi.org/10.7868/S0044466917030103 (Mi zvmmf10535) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces

L. M. Kozhevnikovaab

a Elabuga Institute, Kazan Federal University, Elabuga, Russia
b Sterlitamak Branch, Bashkir State University, Sterlitamak, Russia
Full-text PDF (289 kB) Citations (13)
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DOI: https://doi.org/10.7868/S0044466917030103
Abstract: For a certain class of anisotropic elliptic equations with the right-hand side from L1 in an arbitrary unbounded domains, the Dirichlet problem with an inhomogeneous boundary condition is considered. The existence and uniqueness of the entropy solution in anisotropic Sobolev–Orlicz spaces are proven.
Key words: anisotropic elliptic equation, entropy solution, uniqueness of solution, existence of solution, Sobolev–Orlicz space, N-functions.
Received: 26.07.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 3, Pages 434–452
DOI: https://doi.org/10.1134/S0965542517030101
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: L. M. Kozhevnikova, “On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017), 429–447; Comput. Math. Math. Phys., 57:3 (2017), 434–452
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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