Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials

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ISSN 1088-6834(online) ISSN 0894-0347(print)

Authors: Vittorio Coti Zelati and 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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[2] 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 (91g:58065), http://dx.doi.org/10.1007/BF01444526
[3] E. Séré, Une approche variationnelle au problème des orbites homoclines de systèmes hamiltonian, Math. Z., to appear.
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[5] 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 (93e:58072), http://dx.doi.org/10.1016/0022-0396(91)90095-Q
[6] 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, 1986. MR 845785 (87j:58024)

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