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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 139, Pages 15–38 (Mi into221)  
This article is cited in 7 scientific papers (total in 7 papers)

Existence of entropic solutions of elliptic problem in anisotropic Sobolev–Orlicz spaces

L. M. Kozhevnikovaab

a Sterlitamak Branch of Bashkir State University
b Elabuga Branch of Kazan (Volga Region) Federal University
Full-text PDF (322 kB) Citations (7)
Abstract: We consider the Dirichlet problem in an arbitrary unbounded domain with inhomogeneous boundary conditions for a certain class of anisotropic elliptic equations whose right-hand sides belong to the class $L_1$ and prove the existence of entropic solutions in anisotropic Sobolev–Orlicz spaces.
Keywords: anisotropic elliptic equation, entropic solution, existence of solution, Sobolev–Orlicz space, $N$-function, pseudo-monotonic operator.
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 3, Pages 258–284
DOI: https://doi.org/10.1007/s10958-019-04422-7
Bibliographic databases:
Document Type: Article
UDC: 517.956.25
MSC: 35J25, 35J62, 35D30
Language: Russian
Citation: L. M. Kozhevnikova, “Existence of entropic solutions of elliptic problem in anisotropic Sobolev–Orlicz spaces”, Differential equations. Mathematical physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 139, VINITI, M., 2017, 15–38; Journal of Mathematical Sciences, 241:3 (2019), 258–284
Citation in format AMSBIB
\Bibitem{Koz17}
\by L.~M.~Kozhevnikova
\paper Existence of entropic solutions of elliptic problem in anisotropic Sobolev--Orlicz spaces
\inbook Differential equations. Mathematical physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 139
\pages 15--38
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into221}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3799903}
\zmath{https://zbmath.org/?q=an:1427.35055}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 3
\pages 258--284
\crossref{https://doi.org/10.1007/s10958-019-04422-7}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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