An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities

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...

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Bibliographic Details
Main Authors: Claudianor Oliveira Alves, Daniel C. De Morais Filho, Marco Aurelio S. Souto
Format: Article
Language:English
Published: Texas State University 2004-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/46/abstr.html