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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Displaying similar documents to “Multibump solutions for an almost periodically forced singular Hamiltonian system.”
Variational and penalization methods for studying connecting orbits of Hamiltonian systems.
Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries.
Lee, Cheng (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Existence and multiplicity results for homoclinic orbits of Hamiltonian systems.
Chen, Chao-Nien, Tzeng, Shyuh-yaur (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gluing approximate solutions of minimum type on the Nehari manifold.
Li, Yanyan, Wang, Zhi-Qiang (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Multichain-type solutions for Hamiltonian systems.
Rabinowitz, Paul H., Coti Zelati, Vittorio (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Solutions to elliptic systems of Hamiltonian type in .
Tintarev, K. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On critical points for noncoercive functionals and subharmonic solutions of some Hamiltonian systems.
Schmitt, Klaus, Wang, Zhi-Qiang (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Non-collision solutions for a class of planar singular Lagrangian systems.
Boughariou, Morched (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions.
Fernández Bonder, Julián, Pinasco, Juan Pablo, Rossi, Julio D. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nontrivial solutions to the semilinear Kohn-Laplace equation on .
Tersian, Stepan (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Homoclinic orbits for a class of symmetric Hamiltonian systems.
Korman, Philip, Lazer, Alan C. (1994)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bifurcation of multi-bump homoclinics in systems with normal and slow variables.
Fečkan, Michal (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3
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.