Rabinowitz, Paul H. Free vibrations for a semilinear wave equation. (English) Zbl 0341.35051 Commun. Pure Appl. Math. 31, 31-68 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 162 Documents MSC: 35L05 Wave equation 35B10 Periodic solutions to PDEs 35L60 First-order nonlinear hyperbolic equations 49R50 Variational methods for eigenvalues of operators (MSC2000) PDF BibTeX XML Cite \textit{P. H. Rabinowitz}, Commun. Pure Appl. Math. 31, 31--68 (1978; Zbl 0341.35051) Full Text: DOI References: [1] Seifert, Math. Z. 51 pp 197– (1948) [2] Berger, J. Diff. Eq. 10 pp 17– (1971) [3] Gordon, J. Diff. Eq. 10 pp 324– (1971) [4] Clark, Proc. A.M.S. 39 pp 579– (1973) [5] Weinstein, Inv. Math. 20 pp 47– (1973) [6] Moser, Comm. Pure Appl. Math. 29 pp 727– (1976) [7] and , Periodic solutions near an equilibrium of a non-positive definite Hamiltonian system, preprint. [8] Fadell, Inv. Math. [9] Jacobowitz, J. Diff. Eq. 20 pp 37– (1976) [10] Hartman, Amer. J. of Math. [11] Rabinowitz, Comm. Pure Appl. Math. 31 pp 31– (1978) [12] Critical point theory and the minimax principle, Proc. Symp. Pure Math., 15, A.M.S., Providence, R.I., 1970, pp. 185–212. [13] Amann, Math. Ann. 199 pp 55– (1972) [14] Nirenberg, Ann. Scuol. Norm. Sup. Pisa 13 pp 1– (1959) [15] Rabinowitz, Ann. Scuol. Norm. Sup. Pisa. [16] Periodic orbits for convex Hamiltonian systems, preprint. 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.