%0 Journal Article
%T Existence and multiplicity of solutions for nonlinear elliptic Dirichlet systems
%A Gabriele Bonanno
%A Elisabetta Tornatore
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X 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.
%K Elliptic systems
%K variational problems
%K multiple solutions
%U http://ejde.math.txstate.edu/Volumes/2012/183/abstr.html