Geodesic
Periodic solutions for a class of non-coercive Hamiltonian systems
Electronic journal of differential equations, Tome 2001 (2001)
We prove the existence of non-constant T-periodic orbits of the Hamiltonian system $\dot q =H_p (t, p(t), q(t))\dot p =-H_q (t, p(t), q(t))$, where H is a T-periodic function in t, non-convex and non-coercive in (p,q), and has the form $H(t,p,q)\sim |q|^{\alpha}(|p|^{\beta}-1)$ with .
Classification : 34C25, 37J45
Keywords: Hamiltonian systems, non-coercive, periodic solutions, minimax argument 
@article{EJDE_2001__2001__a79,
     author = {Boughariou,  Morched},
     title = {Periodic solutions for a class of non-coercive {Hamiltonian} systems},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {1029.34032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a79/}
}
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%A Boughariou,  Morched
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%J Electronic journal of differential equations
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Boughariou,  Morched. Periodic solutions for a class of non-coercive Hamiltonian systems. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a79/