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

• Published in: Труды Института прикладной математики и механики
• Date: 2012
• Main Author: Voitovich, M.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124075
• 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.

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...