A new proof and an extension of a theorem of P. Rabinowitz concerning nonlinear wave equations

DOI10.1016/0362-546X(82)90082-7zbMath0504.35064OpenAlexW1981006856MaRDI QIDQ4741099

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Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90082-7

zbMATH Keywords

critical pointnonlinear wave equationmountain pass lemmageneralized gradientduality argument

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (3)

Subharmonic oscillations of a semilinear wave equation ⋮ Periodic solutions of a wave equation with concave and convex nonlinearities ⋮ Large amplitude time periodic solutions of a semilinear wave equation

Cites Work

• Periodic solutions of hamiltonian systems
• A New Approach to Lagrange Multipliers
• Periodic solutions of a weakly nonlinear wave equation in one dimension

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