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Periodic solutions of singular Lagrangian systems

Author: A Ambrosetti; Vittorio Coti Zelati
Publisher: Birkh�auser, Boston : Birkhäuser, ©1993.
Series: Progress in nonlinear differential equations and their applications, v. 10.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

A summary and synthesis of recent research demonstrating that variational methods can be used to successfully handle systems with singular potential, the Lagrangian systems. The classic cases of the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: A Ambrosetti; Vittorio Coti Zelati
ISBN: 0817636552 9780817636555 3764336552 9783764336554
OCLC Number: 28412798
Description: xii, 157 pages : illustrations ; 25 cm.
Contents: I. Preliminaries --
1. Lagrangian systems with smooth potentials --
2. Models involving singular Lagrangians --
3. Critical point theory --
II. Singular Potentials --
4. The functional setting --
5. The Strong Force assumption --
6. Collision solutions --
III. The Strongly Attractive Case --
7. The abstract setting --
8. Existence of periodic solutions --
9. Repulsive potentials --
IV. The Weakly Attractive Case --
10. Weak solutions --
11. Existence of weak solutions --
12. Regularity of weak solutions --
13. Local assumptions --
14. Global assumptions --
V. Orbits with Prescribed Energy --
15. Strongly attractive potentials --
16. Weakly attractive potentials --
17. Symmetric potentials --
VI. The N-Body Problem --
18. The N-body equation --
19. Even potentials --
20. The general case --
21. Fixed energy --
VII. Perturbation Results --
22. A perturbation result in critical point theory --
23. T-periodic solutions --
24. First order systems --
25. Solutions of prescribed energy --
26. Restricted N-Body problems.
Series Title: Progress in nonlinear differential equations and their applications, v. 10.
Responsibility: Antonio Ambrosetti, Vittorio Coti Zelati.
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