An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities
Alves, Claudianor O.
de Morais Filho, Daniel C.
Southwest Texas State University, Department of Mathematics
In 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.
Hamiltonian systems, Discontinuous nonlinearities, Dual variational principle
Alves, 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.