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On the homology method in the critical point theory. (English) Zbl 0798.58012

Miranda, Mario (ed.), Partial differential equations and related subjects. Proceedings of the conference dedicated to Louis Nirenberg held in Trento, Italy, September 3-8, 1990. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 269, 59-77 (1992).

The author reviews critical point theorems using the homology method. An application to the periodic solutions of asymptotically linear Hamiltonian systems is studied. A strong resonance result, in which the asymptotic matrix for the Hamiltonian is degenerate, is obtained.
For the entire collection see [Zbl 0785.00033].

Reviewer: E.Gomozov (Khar’kov)

Cited in 8 Documents

MSC:

58E05	Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
37J99	Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems

Keywords:

homology classes; critical point; Hamiltonian systems

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