Variational and penalization methods for studying connecting orbits of Hamiltonian systems.
Chen, Chao-Nien, Tzeng, Shyuh-yaur (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Chen, Chao-Nien, Tzeng, Shyuh-yaur (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lee, Cheng (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Chen, Chao-Nien, Tzeng, Shyuh-yaur (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Li, Yanyan, Wang, Zhi-Qiang (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Rabinowitz, Paul H., Coti Zelati, Vittorio (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tintarev, K. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Schmitt, Klaus, Wang, Zhi-Qiang (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Boughariou, Morched (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Fernández Bonder, Julián, Pinasco, Juan Pablo, Rossi, Julio D. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tersian, Stepan (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Korman, Philip, Lazer, Alan C. (1994)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Fečkan, Michal (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Joanna Janczewska, Jakub Maksymiuk (2012)
Open Mathematics
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We consider a conservative second order Hamiltonian system in ℝ3 with a potential V having a global maximum at the origin and a line l ∩ 0 = ϑ as a set of singular points. Under a certain compactness condition on V at infinity and a strong force condition at singular points we study, by the use of variational methods and geometrical arguments, the existence of homoclinic solutions of the system.