Bronsted-Rockafellar property and maximality of monotone operators   representable by convex functions in non-reflexive Banach spaces
  In this work we are concerned with maximality of monotone operators representable by certain convex functions in non-reflexive Banach spaces. We also prove that these maximal monotone operators satisfy a Bronsted-Rockafellar type property.   We show that if a function in XxX^* and its conjugate are above the duality product in their respective domains, then this function represents a maximal monotone operator. 
M. Marques Alves, B. F. Svaiter