Subharmonic oscillations of a semilinear wave equation

DOI10.1016/0362-546X(85)90009-4zbMath0588.35054MaRDI QIDQ3715525

Michel Willem

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

semilinear wave equationperiodic solutionsubharmonic solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05)

Related Items

Multiplicity and regularity of large periodic solutions with rational frequency for a class of semilinear monotone wave equations, Nodal ground state solution to a biharmonic equation via dual method, Nonlinear effects in the wave equation with a cubic restoring force, Periodic solutions of a superlinear wave equation, Subharmonic oscillations of forced pendulum-type equations, Remarks on subharmonic oscillations of a semilinear wave equation, Periodic solutions of symmetric wave equations, Periodic solutions of a wave equation with concave and convex nonlinearities

Cites Work

• Unnamed Item
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• The dual method in critical point theory. Multiplicity results for indefinite functional
• Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz
• Dual variational methods in critical point theory and applications
• On the continuity of the Young-Fenchel transform
• Periodic solutions of a nonlinear wave equation
• Periodic Solutions of Nonlinear Wave Equations and Hamiltonian Systems
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Periodic solutions of hamiltonian systems
• Hamiltonian trajectories having prescribed minimal period
• A new proof and an extension of a theorem of P. Rabinowitz concerning nonlinear wave equations