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Book Categories |
I | Preliminaries | 1 |
1 | Lagrangian systems with smooth potentials | 1 |
2 | Models involving singular Lagrangians | 3 |
3 | Critical point theory | 10 |
II | Singular Potentials | 19 |
4 | The functional setting | 19 |
5 | The Strong Force assumption | 25 |
6 | Collision solutions | 27 |
III | The Strongly Attractive Case | 31 |
7 | The abstract setting | 31 |
8 | Existence of periodic solutions | 43 |
9 | Repulsive potentials | 51 |
IV | The Weakly Attractive Case | 57 |
10 | Weak solutions | 57 |
11 | Existence of weak solutions | 64 |
12 | Regularity of weak solutions | 68 |
13 | Local assumptions | 73 |
14 | Global assumptions | 79 |
V | Orbits with Prescribed Energy | 87 |
15 | Strongly attractive potentials | 88 |
16 | Weakly attractive potentials | 92 |
17 | Symmetric potentials | 104 |
VI | The N-Body Problem | 113 |
18 | The N-body equation | 113 |
19 | Even potentials | 115 |
20 | The general case | 119 |
21 | Fixed energy | 122 |
VII | Perturbation Results | 129 |
22 | A perturbation result in critical point theory | 130 |
23 | T-periodic solutions | 131 |
24 | First order systems | 137 |
25 | Solutions of prescribed energy | 142 |
26 | Restricted N-Body problems | 144 |
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