×

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
PDFBibTeX XMLCite
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.