An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities
Date
2004-03-31
Authors
Alves, Claudianor O.
de Morais Filho, Daniel C.
Souto, Marco
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Hamiltonian systems, Discontinuous nonlinearities, Dual variational principle
Citation
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.