Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 183, pp. 1-11.

Title: Existence and multiplicity of solutions for nonlinear elliptic 
       Dirichlet systems
 
Authors: Gabriele Bonanno    (Univ. of Messina, Italy)
         Elisabetta Tornatore (Univ. degli studi di Palermo, Italy)

Abstract:
 The existence and multiplicity of solutions for systems of nonlinear
 elliptic equations with Dirichlet boundary conditions is investigated.
 Under suitable assumptions on the potential of the nonlinearity,
 the existence of one, two, or three solutions is established.
 Our approach is based on variational methods.
 
Submitted August 28, 2012. Published October 28, 2012.
Math Subject Classifications: 35J65, 35J20.
Key Words: Elliptic systems; variational problems; multiple solutions.