Geodesic
An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities
Electronic journal of differential equations, Tome 2004 (2004)
Zbl   EuDML
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 
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/
@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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