Geodesic
The Behavior of Solutions of the Nonlinear Biharmonic Equation in an Unbounded Domain
Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 248-256

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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. 
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     author = {A. V. Neklyudov},
     title = {The {Behavior} of {Solutions} of the {Nonlinear} {Biharmonic} {Equation} in an {Unbounded} {Domain}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {248--256},
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     volume = {95},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a7/}
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A. V. Neklyudov. The Behavior of Solutions of the Nonlinear Biharmonic Equation in an Unbounded Domain. Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 248-256. http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a7/