The behavior of solutions of the nonlinear biharmonic equation in an unbounded domain

DOI10.1134/S0001434614010246zbMath1347.35103MaRDI QIDQ2341977

A. V. Neklyudov

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsasymptotic behaviorLaplace operatorPoincaré inequalitysemilinear elliptic equationnonlinear biharmonic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Nonlinear differential equations in abstract spaces (34G20) Higher-order elliptic equations (35J30)

Related Items (1)

Asymptotic of solutions of two-dimesional Gauss-Bierbach-Rademacher equation with variable coefficients in external area

Cites Work

• The behavior of solutions of semilinear elliptic equations of second order of the form \(Lu = e^u\) in the infinite cylinder
• Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder
• Asymptotics of solutions of Neumann's problem for the equation Δu−e^u= 0 in a semi-infinite cylinder
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