Stochastic Evolution Equations with Multiplicative Poisson Noise and   Monotone Nonlinearity: A New Approach
  Semilinear stochastic evolution equations with multiplicative Poisson noise and monotone nonlinear drift are considered. We do not impose coercivity conditions on coefficients. A novel method of proof for establishing existence and uniqueness of the mild solution is proposed. Examples on stochastic partial differential equations and stochastic delay differential equations are provided to demonstrate the theory developed. 
Erfan Salavati, Bijan Z. Zangeneh
math.PR