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Periodic Solutions of Singular Lagrangian Systems, Vol. 10 Book

Periodic Solutions of Singular Lagrangian Systems, Vol. 10
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  • Periodic Solutions of Singular Lagrangian Systems, Vol. 10
  • Written by author AMBROSETTI
  • Published by Springer-Verlag New York, LLC, July 1993
Buy Digital  USD$99.99

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Book Categories

Authors

IPreliminaries1
1Lagrangian systems with smooth potentials1
2Models involving singular Lagrangians3
3Critical point theory10
IISingular Potentials19
4The functional setting19
5The Strong Force assumption25
6Collision solutions27
IIIThe Strongly Attractive Case31
7The abstract setting31
8Existence of periodic solutions43
9Repulsive potentials51
IVThe Weakly Attractive Case57
10Weak solutions57
11Existence of weak solutions64
12Regularity of weak solutions68
13Local assumptions73
14Global assumptions79
VOrbits with Prescribed Energy87
15Strongly attractive potentials88
16Weakly attractive potentials92
17Symmetric potentials104
VIThe N-Body Problem113
18The N-body equation113
19Even potentials115
20The general case119
21Fixed energy122
VIIPerturbation Results129
22A perturbation result in critical point theory130
23T-periodic solutions131
24First order systems137
25Solutions of prescribed energy142
26Restricted N-Body problems144


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