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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 3, Pages 672–686 (Mi smj2354)  
This article is cited in 3 scientific papers (total in 3 papers)

New a priori estimates of solutions to anisotropic elliptic equations

Ar. S. Tersenov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (340 kB) Citations (3)
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Abstract: Under consideration is the Dirichlet problem for singular anisotropic elliptic equations with a nonlinear source. Some new a priori estimates are obtained, implying that the solvability of the Dirichlet problem in the class of bounded solutions essentially depends on the dimension of the domain of the problem.
Keywords: anisotropic elliptic equation, Dirichlet problem.
Received: 13.07.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 3, Pages 539–550
DOI: https://doi.org/10.1134/S0037446612020346
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: Ar. S. Tersenov, “New a priori estimates of solutions to anisotropic elliptic equations”, Sibirsk. Mat. Zh., 53:3 (2012), 672–686; Siberian Math. J., 53:3 (2012), 539–550
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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