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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Date: | 2012 |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2012
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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. |