Multidimensional generalized discontinuous BSDEs with weak monotonicity and general growth coefficients

Abstract In this paper, we establish the existence and uniqueness of a solution for multidimensional generalized backward stochastic differential equations where the noise is driven by a Brownian motion and an independent Poisson random measure. We consider the case where the generators are weakly monotone and satisfy a general growth condition. Our results are derived using a priori estimates, the convolution approach and truncation techniques