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Solutions of asymptotically linear operator equations via Morse theory. (English) Zbl 0444.58008

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
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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)
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