The Fitzpatrick function - a bridge between convex analysis and   multivalued stochastic differential equations
  Using the Fitzpatrick function, we characterize the solutions for different classes of deterministic and stochastic differential equations driven by maximal monotone operators (or in particular subdifferential operators) as the minimum point of a suitably chosen convex lower semicontinuous function. Such technique provides a new approach for the existence of the solutions for the considered equations. 
Aurel Rascanu, Eduard Rotenstein