Geodesic
Interfering solutions of a nonhomogeneous Hamiltonian system
Electronic journal of differential equations, Tome 2001 (2001)
A Hamiltonian system is studied which has a term approaching a constant at an exponential rate at infinity . A minimax argument is used to show that the equation has a positive homoclinic solution. The proof employs the interaction between translated solutions of the corresponding homogeneous equation. What distinguishes this result from its few predecessors is that the equation has a nonhomogeneous nonlinearity.
Classification : 35A15
Keywords: variational methods, minimax argument, nonhomogeneous linearity, Hamiltonian system, Nehari manifold 
@article{EJDE_2001__2001__a103,
     author = {Spradlin,  Gregory S.},
     title = {Interfering solutions of a nonhomogeneous {Hamiltonian} system},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {1068.35501},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a103/}
}
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Spradlin,  Gregory S. Interfering solutions of a nonhomogeneous Hamiltonian system. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a103/