Boundedness of solutions of nonlinear \(p\)-Laplacian

DOI10.1016/J.AMC.2003.08.093zbMath1070.34060OpenAlexW2016020629MaRDI QIDQ702547

Xiaojing Yang

Publication date: 17 January 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.093

zbMATH Keywords

boundednessHamiltonian systemPoincaré mapaction-angle variablesMoser's theoremtwist theoremtwist mapping

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Nearly integrable Hamiltonian systems, KAM theory (70H08) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

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• Boundedness in nonlinear asymmetric oscillations
• Quasiperiodic motions in superquadratic time-periodic potentials
• Boundedness for solutions of superlinear Duffing equations via the twist theorem
• On Littlewood’s boundedness problem for sublinear Duffing equations
• A case of boundedness in Littlewood's problem on oscillatory differential equations
• Existence of quasiperiodic solutions and Littlewood’s boundedness problem of Duffing equations with subquadratic potentials
• Multiple Solutions for the p-Laplacian Under Global Nonresonance
• Boundedness of solutions for Duffing's equations with semilinear potentials

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