On the surjectivity properties of perturbations of maximal monotone   operators in non-reflexive Banach spaces
  We are concerned with surjectivity of perturbations of maximal monotone operators in non-reflexive Banach spaces. While in a reflexive setting, a classical surjectivity result due to Rockafellar gives a necessary and sufficient condition to maximal monotonicity, in a non-reflexive space we characterize maximality using a ``enlarged'' version of the duality mapping, introduced previously by Gossez. 
M. Marques Alves, B. F. Svaiter