Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials
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- by Vittorio Coti Zelati and Paul H. Rabinowitz
- J. Amer. Math. Soc. 4 (1991), 693-727
- DOI: https://doi.org/10.1090/S0894-0347-1991-1119200-3
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References
- Paul H. Rabinowitz, Homoclinic orbits for a class of Hamiltonian systems, Proc. Roy. Soc. Edinburgh Sect. A 114 (1990), no. 1-2, 33–38. MR 1051605, DOI 10.1017/S0308210500024240
- Vittorio Coti Zelati, Ivar Ekeland, and Éric Séré, A variational approach to homoclinic orbits in Hamiltonian systems, Math. Ann. 288 (1990), no. 1, 133–160. MR 1070929, DOI 10.1007/BF01444526 E. Séré, Une approche variationnelle au problème des orbites homoclines de systèmes hamiltonian, Math. Z., to appear.
- H. Hofer and K. Wysocki, First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems, Math. Ann. 288 (1990), no. 3, 483–503. MR 1079873, DOI 10.1007/BF01444543
- Kazunaga Tanaka, Homoclinic orbits in a first order superquadratic Hamiltonian system: convergence of subharmonic orbits, J. Differential Equations 94 (1991), no. 2, 315–339. MR 1137618, DOI 10.1016/0022-0396(91)90095-Q
- Paul H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, CBMS Regional Conference Series in Mathematics, vol. 65, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1986. MR 845785, DOI 10.1090/cbms/065
Bibliographic Information
- © Copyright 1991 American Mathematical Society
- Journal: J. Amer. Math. Soc. 4 (1991), 693-727
- MSC: Primary 58E05; Secondary 34C37, 58F05, 58F15, 70H05
- DOI: https://doi.org/10.1090/S0894-0347-1991-1119200-3
- MathSciNet review: 1119200