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Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials
Author(s):
Vittorio
Coti Zelati;
Paul H.
Rabinowitz
Journal:
J. Amer. Math. Soc.
4
(1991),
693-727.
MSC:
Primary 58E05;
Secondary 34C37, 58F05, 58F15, 70H05
MathSciNet review:
1119200
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Additional information
References:
-
- [1]
- P. H. Rabinowitz, Homoclinic orbits for a class of Hamiltonian systems, Proc. Roy. Soc. Edinburgh Sect. A 114 (1990), 33-38. MR 1051605 (91c:58118)
- [2]
- V. Coti Zelati, I. Ekeland, and E. Séré, A variational approach to homoclinic orbits in Hamiltonian systems, Math. Ann. 288 (1990), 133-160. MR 1070929 (91g:58065)
- [3]
- E. Séré, Une approche variationnelle au problème des orbites homoclines de systèmes hamiltonian, Math. Z., to appear.
- [4]
- H. Hofer and K. Wysocki, First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems, preprint. MR 1079873 (91m:58064)
- [5]
- K. Tanaka, Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits, Analyse nonlinéaire, to appear. MR 1137618 (93e:58072)
- [6]
- P. H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, CBMS Regional Conf. Ser. in Math., no. 65, Conf. Board Math. Sci., Washington, D.C., 1986. MR 845785 (87j:58024)
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Additional Information:
DOI:
10.1090/S0894-0347-1991-1119200-3
PII:
S0894-0347-1991-1119200-3
Copyright of article:
Copyright
1991,
American Mathematical Society
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