Chang, Kung Ching Solutions of asymptotically linear operator equations via Morse theory. (English) Zbl 0444.58008 Commun. Pure Appl. Math. 34, 693-712 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 105 Documents MSC: 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces 58J32 Boundary value problems on manifolds 58J10 Differential complexes 58J45 Hyperbolic equations on manifolds 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 35L05 Wave equation 35J65 Nonlinear boundary value problems for linear elliptic equations Keywords:existence and multiplicity of solutions of asymptotically linear operator equations; periodic solutions of semilinear wave equation and of Hamiltonian systems; semilinear elliptic boundary value problems PDFBibTeX XMLCite \textit{K. C. Chang}, Commun. Pure Appl. Math. 34, 693--712 (1981; Zbl 0444.58008) Full Text: DOI References: [1] and , Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations, preprint. [2] Nonlinearity and Functional Analysis: Academic Press, 1978. [3] Castro, Annali di Mat. Pura ed Appl. (IV) pp 113– (1979) [4] Isolated invariant sets and the Morse Index, CBMS Regional Conference Series in Math., 38, 1978, A.M.S., Providence, R.I. · doi:10.1090/cbms/038 [5] Marino, Boll. U.M.I. 4 pp 11– (1975) [6] and , Critical Point Theory in Global Analysis and Differential Topology, Acad. Press, 1969. [7] Nussbaum, J. of Math. Anal. Applic. 5 pp 461– (1975) [8] Rabinowitz, J. of Math. Anal. Applic. 51 pp 483– (1975) [9] Rothe, J. Math. Anal. Appl. 36 pp 377– (1971) [10] Rothe, The Rocky Mountain J. of Math. 3 pp 251– (1973) 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.