TY - BOOK AU - Riahi,Hasna TI - Study of the critical points at infinity arising from the failure of the Palais-Smale condition for n-body type problems T2 - Memoirs of the American Mathematical Society, SN - 9781470402471 (online) AV - QA3QA614.7 .A57 no. 658 U1 - 510 s514/.74 21 PY - 1999/// CY - Providence, R.I. PB - American Mathematical Society KW - Critical point theory (Mathematical analysis) KW - Many-body problem KW - Hamiltonian systems N1 - "Volume 138, number 658 (first of 4 numbers)."; Includes bibliographical references (p. 111-112); 1. Introduction; 2. Breakdown of the Palais-Smale condition; 3. Morse lemma near infinity; 4. A modified functional for the 4-body problem; 5. Retraction theorem and related results for the 4-body problem; 6. Generalization to the $n$-body problem; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0658 UR - http://dx.doi.org/10.1090/memo/0658 ER -