Geodesic
An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities
Electronic journal of differential equations, Tome 2004 (2004)
In this article, we study the existence of solutions to the Hamiltonian elliptic system with discontinuous nonlinearities

$\displaylines{ -\Delta u=au+bv+f(x,v), \cr -\Delta v=cu+av+g(x,u) }$

on a bounded subset of $\mathbb{R}^n$, with zero Dirichlet boundary conditions. The functions $f$ and $g$ have a finite number of jumping discontinuities.
Classification : 35J50, 37K05, 34A34
Keywords: Hamiltonian systems, discontinuous nonlinearities, dual variational principle 
@article{EJDE_2004__2004__a110,
     author = {Alves,  Claudianor O. and de Morais Filho,  Daniel C. and Souto,  Marco Aurelio S.},
     title = {An application of the dual variational principle to a {Hamiltonian} system with discontinuous nonlinearities},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1144.35374},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a110/}
}
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Alves,  Claudianor O.; de Morais Filho,  Daniel C.; Souto,  Marco Aurelio S. An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a110/