Abstract
In this paper, we first establish the existence and uniqueness of Lp(p>1) solutions for multidimensional backward stochastic differential equations (BSDEs) under a weak monotonicity condition together with a general growth condition in y for the generator g. Then, we overview several conditions related closely to the weak monotonicity condition and compare them in an effective way. Finally, we put forward and prove a stability theorem and a comparison theorem of Lp(p>1) solutions for this kind of BSDEs.
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