Alves, Claudianor O.de Morais Filho, Daniel C.Souto, Marco2021-04-142021-04-142004-03-31Alves, C. O., de Morais Filho, D. C., & Souto, M. A. S. (2004). An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities. <i>Electronic Journal of Differential Equations, 2004</i>(46), pp. 1-12.1072-6691https://hdl.handle.net/10877/13383In this article, we study the existence of solutions to the Hamiltonian elliptic system with discontinuous nonlinearities -Δu = αu + bν + ƒ(x, v), -Δv = cu + αv + g(x, u) on a bounded subset of ℝn, with zero Dirichlet boundary conditions. The functions ƒ and g have a finite number of jumping discontinuities.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalHamiltonian systemsDiscontinuous nonlinearitiesDual variational principleAn application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearitiesArticle