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Matematicheskie Zametki, 2014, Volume 95, Issue 2, Pages 248–256
DOI: https://doi.org/10.4213/mzm9157 (Mi mzm9157) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Behavior of Solutions of the Nonlinear Biharmonic Equation in an Unbounded Domain

A. V. Neklyudov

N. E. Bauman Moscow State Technical University
Full-text PDF (434 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm9157
Abstract: Periodic (in one variable) solutions in the half-plane of the two-dimensional nonlinear biharmonic equation with exponential nonlinearity on the right-hand side are considered. The power-law and logarithmic asymptotics of the solutions at infinity are obtained.
Keywords: nonlinear biharmonic equation, semilinear elliptic equation, the Laplace operator, Poincaré inequality.
Received: 13.05.2011
English version:
Mathematical Notes, 2014, Volume 95, Issue 2, Pages 226–233
DOI: https://doi.org/10.1134/S0001434614010246
Bibliographic databases:
Document Type: Article
UDC: 517.956.2
Language: Russian
Citation: A. V. Neklyudov, “The Behavior of Solutions of the Nonlinear Biharmonic Equation in an Unbounded Domain”, Mat. Zametki, 95:2 (2014), 248–256; Math. Notes, 95:2 (2014), 226–233
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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