  We establish the existence of an entire solution for a class of stationary
Schr\"{o}dinger systems with subcritical discontinuous nonlinearities and lower
bounded potentials that blow-up at infinity. The proof is based on the critical
point theory in the sense of Clarke and we apply Chang's version of the
Mountain Pass Lemma for locally Lipschitz functionals. Our result generalizes
in a nonsmooth framework a result of Rabinowitz \cite{rabi} related to entire
solutions of the Schr\"{o}dinger equation.
