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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm9157https://doi.org/10.4213/mzm9157 https://www.mathnet.ru/eng/mzm/v95/i2/p248
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