Study of the critical points at infinity arising from the failure of the Palais-Smale condition for 𝑛-body type problems

DOI10.1090/MEMO/0658zbMath0928.58018OpenAlexW2042277097MaRDI QIDQ4243754

Hasna Riahi

Publication date: 24 May 1999

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0658

zbMATH Keywords

Hamiltonian systemsmany-body problemcritical points at infinityMorse lemma at infinity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) (n)-body problems (70F10)

Related Items (3)

On the variational approach to the periodic \(n\)-body problem ⋮ Study of the periodic solutions of some \(n\)-body-type problems ⋮ Study of the generalized solutions of n-body type problems with weak forces

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