The existence of homoclinic orbits for hamiltonian systems with the potentials changing sign

Chinese Annals of Mathematics. Series B

Volumn 17, Issue 4, 1996, Pages 403-410

  Fei, Guihua ^a  

^a NANJING UNIVERSITY   (China)

Author keywords

Critical point theory; Hamiltonian system; Homoclinic orbit

Indexed keywords

EID: 21444447537     PISSN: 02529599     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Ambrosetti, A. & Rabinowitz, P. H., Dual variational methods in critical point theory and applications, J. Funct. Analysis, 14 (1973), 349-381.
2. Chang, K. G., Infinite dimensional Morse theory and multiple solution problems, Progress in nonlinear differential equations and their applications, V.6, 1993.
3. Chang, K. C., & Liu, J. Q., A remark on the homoclinic orbits for Hamiltonian systems (Preprint).
4. Coti Zelati, V., Ekeland, I. & Sere, E., A variational approach to homoclinic orbits in Hamiltonian systems, Math. Ann., 288 (1990), 133-160.
5. Coti Zelati, V. & Rabinowitz, P. H., Homoclinic orbits for a second order Hamiltonian systems possessing superquadratic potentials, Jour. Am. Math. Soc., 4 (1991), 693-727.
6. Ding, Y. H. & Girardi, M., Periodic and homoclinic solutions to a class of Hamiltonian systems with the potentials changing sign, Dynamic Sys. and Appl. (to appear).
7. Girardi, M. & Matzu, M., Existence and multiplicity results for periodic solutions of superquadratic Hamiltonian systems where the potential changes sign, Nonlinear Diff. Eq. and Appl. (to appear).
8. Hofer, H. & Wysocki, K., First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems, Math. Ann., 288 (1990), 483-503.
9. Mawhin, J. & Willem, M., Critical point theory and Hamiltonian systems, Appl. Math. Sci., Springer, 74 (1989).
10. Omana, W. & Willem, M., Homoclinic orbits for a class of Hamikonian systems, Diff. Inte. Equa., 5 (1992), 1115-1120.
11. Rabinowitz, P. H., Minimax methods in critical point theory with applications to differential equations, CBMS Reg. Conf. Ser. in Math. A. M. S. 65 (1986).
12. Rabinowitz, P. H., Homoclinic orbits for a class of Hamiltonian systems, Proceed. Royal Soc. Edinburgh, 114 A (1990), 33-38.
13. Rabinowitz, P. H. & Tanaka, K., Some results on connecting orbits for a class of Hamiltonian systems, Math. Z., 206 (1991), 473-499.
14. Sere, E., Existence of infinitely many homoclinic orbits in Hamiltonian systems, Math. Z., 209 (1992), 27-42.
15. Tanaka, K., Homoclinic orbits in a first order superquadratic Hamiltonian system: convergence of subharmonic orbits, J. Diff. Equa., 94 (1991), 315-339.
16. Wu Shaoping, Homoclinic orbits for Lagrangian systems, (Preprint).