Critical points with lack of compactness and singular dynamical systems
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Publication:1101749
DOI10.1007/BF01773936zbMath0642.58017OpenAlexW2051805294MaRDI QIDQ1101749
Vittorio Coti Zelati, Antonio Ambrosetti
Publication date: 1987
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01773936
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)
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Cites Work
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- Remarks on dynamical systems with weak forces
- Periodic solutions of dynamical systems with bounded potential
- Periodic solutions of Lagrangian systems with bounded potential
- T-periodic solutions of time dependent Hamiltonian systems with a potential vanishing at infinity
- Closed orbits of fixed energy for a class of \(N\)-body problems
- Normal modes of a Lagrangian system constrained in a potential well
- Lusternik-Schnirelman theory on Banach manifolds
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- A boundary value problem with a periodic nonlinearity
- Dynamical systems with effective-like potentials
- Lagrangian Systems in the Presence of Singularities
- A Minimizing Property of Keplerian Orbits
- Conservative Dynamical Systems Involving Strong Forces
- Lectures on Morse theory, old and new