Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems
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Publication:1182847
DOI10.1016/S0294-1449(16)30257-8zbMath0749.58046OpenAlexW80049180MaRDI QIDQ1182847
Publication date: 28 June 1992
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_1991__8_5_459_0
Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Local and nonlocal bifurcation theory for dynamical systems (37G99)
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Cites Work
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- Critical points with lack of compactness and singular dynamical systems
- A minimax method for a class of Hamiltonian systems with singular potentials
- Lusternik-Schnirelman theory on Banach manifolds
- Periodic solutions of a class of singular Hamiltonian systems
- A Note on the Category of the Free Loop Space
- Conservative Dynamical Systems Involving Strong Forces
