In this paper we prove the existence and uniqueness of variational solutions to the following type of stochastic partial differential equations perturbed by a sum of a Wiener process W(t) and a Gaussian process G(t) in infinite dimensions: dXt=At,X tdt+B t,Xt dWt+ht dGt, where A and B are nonlinear operators satisfying some monotonicity conditions.
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