Geodesic
An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a10,
     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},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a10/}
}
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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__a10/