Brézis, Haïm; Coron, Jean-Michel; Nirenberg, Louis Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz. (English) Zbl 0484.35057 Commun. Pure Appl. Math. 33, 667-684 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 110 Documents MSC: 35L70 Second-order nonlinear hyperbolic equations 35B10 Periodic solutions to PDEs Keywords:Palais-Smale condition; Dirichlet boundary conditions; mountain pass theorem PDFBibTeX XMLCite \textit{H. Brézis} et al., Commun. Pure Appl. Math. 33, 667--684 (1980; Zbl 0484.35057) Full Text: DOI 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) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.