Algebraic systems with Lipschitz perturbations
  By using variational methods, the existence of infinitely many solutions for a nonlinear algebraic system with a parameter is established in presence of a perturbed Lipschitz term. Our goal was achieved requiring an appropriate behavior of the nonlinear term $f$, either at zero or at infinity, without symmetry conditions. 
Giovanni Molica Bisci and Du\v{s}an Repov\v{s}
math.AP