Energy estimates of bounded solutions of the Dirichlet problem for a class of nonlinear fourth-order elliptic equations

We consider a class of nonlinear elliptic fourth-order equations with the principal part satisfying a strengthened coercivity condition, absorption and a lower-order term. It is supposed that the lowerorder term of the equations admits the growth rates of derivatives of unknown function coinciding w...

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Bibliographic Details
Date:2012
Main Author: Voitovich, M.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2012
Series:Труды Института прикладной математики и механики
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124075
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Energy estimates of bounded solutions of the Dirichlet problem for a class of nonlinear fourth-order elliptic equations / M.V. Voitovich // Труды Института прикладной математики и механики НАН Украины. — Донецьк: ІПММ НАН України, 2012. — Т. 24. — С. 58-67. — Бібліогр.: 14 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine