Cohomology and Morse theory for strongly indefinite functionals
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Publication:1813042
DOI10.1007/BF02570842zbMath0735.58012MaRDI QIDQ1813042
Publication date: 25 June 1992
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174371
Morse theorycohomologycritical pointsindefinite functionalsexistence of multiple time-periodic solutions for Hamiltonian systems
Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homology and cohomology theories in algebraic topology (55N99)
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Cites Work
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- The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
- Morse theory and asymptotic linear Hamiltonian system
- Critical point theory and Hamiltonian systems
- A generalized saddle point theorem
- Infinite dimensional cohomology theories
- On differentiable functions with isolated critical points
- Degenerate critical points, homotopy indices and Morse inequalities.
- A relative category and applications to critical point theory for strongly indefinite functionals
- Periodic solutions of asymptotically linear Hamiltonian systems
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