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Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. (English) Zbl 0484.35057


MSC:

35L70 Second-order nonlinear hyperbolic equations
35B10 Periodic solutions to PDEs
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References:

[1] Ambrosetti, J. Funct. Anal. 14 pp 349– (1973)
[2] Bahri, Proc. Roy. Soc. Edinburgh
[3] Brézis, Ann. Sc. Norm. Pisa 5 pp 225– (1978)
[4] Brézis, Comm. Pure Appl. Math. 31 pp 1– (1978)
[5] Variational methods for nondifferentiable functionals and its applications to partial differential equations, to appear.
[6] Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz, to appear.
[7] Lovicarová, Czech Math. J. 19 pp 324– (1969)
[8] Variational method for nonlinear eigenvalue problems, in Eigenvalues of Nonlinear Problems, CIME, ed. Cremonese Rome, 1974, pp. 141–195.
[9] Rabinowitz, Comm. Pure Appl. Math. 31 pp 31– (1978)
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