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Study of the critical points at infinity arising from the failure of the Palais-Smale condition for $n$-body type problems
About this Title
Hasna Riahi
Publication: Memoirs of the American Mathematical Society
Publication Year:
1999; Volume 138, Number 658
ISBNs: 978-0-8218-0873-3 (print); 978-1-4704-0247-1 (online)
DOI: https://doi.org/10.1090/memo/0658
MathSciNet review: 1445492
MSC: Primary 58E05; Secondary 34C25, 58F05, 70F10, 70H05
Table of Contents
Chapters
- 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