Solutions with minimal period for hamiltonian systems in a potential well

 Access to full text

 Full (PDF)

1. [1] A. Ambrosetti, Nonlinear Oscillatiations with Minimal Period, Proceed. Symp. Pure Math., Vol. 44, 1985 pp. 29-35. Zbl0666.58020MR843546
2. [2] A. Ambrosetti and G. Mancini, Solutions of Minimal Period for a Class of Convex Hamiltonian Systems, Math. Ann., Vol. 255, 1981, pp. 405-421. Zbl0466.70022MR615860
3. [3] A. Ambrosetti and P. Rabinowitz, Dual Variational Methods in Critical Point Theory and Applications, J. Funct. Anal., Vol. 14, 1973, pp. 349-381. Zbl0273.49063MR370183
4. [4] J.P. Aubin and I. Ekeland, Applied Nonlinear Analysis, Wiley, New York, 1984. Zbl0641.47066MR749753
5. [5] V. Benci, Normal Modes of a Lagrangian System Constrained in a Potential Well, Ann. LH.P. "Analyse non lineare", Vol. 1, 1984, pp. 379-400. Zbl0561.58006MR779875
6. [6] F. Clarke, Periodic Solutions of Hamiltonian Inclusions, J. Diff. Eq., Vol. 40, 1981, pp. 1-6. Zbl0461.34030MR614215
7. [7] F. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York, 1983. Zbl0582.49001MR709590
8. [8] F. Clarke and I. Ekeland, Hamiltonian Trajectories having Prescribed Minimal Period, Comm. Pure and Appl. Math., Vol. 33, 1980, pp. 103-116. Zbl0403.70016MR562546
9. [9] I. Ekeland, Periodic Solutions to Hamiltonian Equations and a Theorem od P. Rabinowitz, J. Diff. Eq., Vol. 34, 1979, pp. 523-534. Zbl0446.70019MR555325
10. [10] I. Ekeland, Une théorie de Morse pour les systèmes hamiltoniens convexes, Ann. I.H.P. "Analyse non lineare", Vol. 1, 1984, pp. 19-78. Zbl0537.58018MR738494
11. [11] I. Ekeland and H. Hofer, Periodic Solutions with Prescribed Period for Convex Autonomous Hamiltonian Systems, Inv. Math.81 (1985), pp. 155-188). Zbl0594.58035MR796195
12. [12] M. Girardi and M. Matzeu, Periodic Solutions of Convex Hamiltonian Systems with a Quadratic Growth at the Origin and Superquadratic at Infinity, preprint, Univ. degli Studi di Roma, Roma, 1985. Zbl0631.58014MR1026157
13. [13] M. Girardi and M. Matzeu, Some Results on Solutions of Minimal Period to Hamiltonian Systems, in Nonlinear Oscillations for Conservative Systems, A. AMBROSETTI Ed., Pitagora, Bologna, 1985, pp. 27-35. Zbl0596.70014
14. [14] A. Kufner, O. John and S. Fucik, Function Spaces, Academia, Prague, 1977. Zbl0364.46022MR482102
15. [15] P. Rabinowitz, Periodic Solutions of Hamiltonian Systems, Comm. Pure and Appl. Math., Vol. 31, 1978, pp. 157-184. Zbl0358.70014MR467823
16. [16] P. Rabinowitz, Periodic Solutions of Hamiltonian Systems: a Survey, S.I.A.M. J. Math. Anal., Vol. 13, 1982, pp. 343-352. Zbl0521.58028MR653462
17. [17] J.J. Benedetto, Real Variable and Integration, B. G. Teubner, Stuttgart, 1976. Zbl0336.26001MR580297

1. Marco Degiovanni, Fabio Giannoni, Dynamical systems with newtonian type potentials
2. Marco Degiovanni, Fabio Giannoni, Antonio Marino, Dynamical systems with Newtonian type potentials
3. Marco Degiovanni, Fabio Giannoni, Antonio Marino, Dynamical systems with Newtonian type potentials
4. Patricio L. Felmer, Elves A. de B. Silva, Homoclinic and periodic orbits for hamiltonian systems
5. Vittorio Coti Zelati, Ivar Ekeland, Pierre-Louis Lions, Index estimates and critical points of functionals not satisfying Palais-Smale
6. Yiming Long, The minimal period problem of classical hamiltonian systems with even potentials