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Ufa Mathematical Journal, 2016, Volume 8, Issue 3, Pages 95–108
DOI: https://doi.org/10.13108/2016-8-3-95 (Mi ufa327) 		 
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
English version PDF (428 kB) Citations (1)
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DOI: https://doi.org/10.13108/2016-8-3-95
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.
Funding agency Grant number
Russian Science Foundation 16-31-50034/16
Received: 19.11.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2016, Volume 8, Issue 3, Pages 99–112
Bibliographic databases:
Document Type: Article
UDC: 517.956.25
MSC: 35J62
Language: English
Original paper language: Russian
Citation: R. Kh. Karimov, L. M. Kozhevnikova, A. A. Khadzhi, “Behavior of solutions to elliptic equations with non-power nonlinearities in unbounded domains”, Ufimsk. Mat. Zh., 8:3 (2016), 99–112; Ufa Math. J., 8:3 (2016), 95–108
Citation in format AMSBIB
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  • https://doi.org/10.13108/2016-8-3-95
  • https://www.mathnet.ru/eng/ufa/v8/i3/p99
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
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    Abstract page:324
    Russian version PDF:116
    English version PDF:5
    References:42
     
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