LpLp solutions of reflected BSDEs under monotonicity condition

We prove existence and uniqueness of LpLp solutions, p∈[1,2]p∈[1,2], of reflected backward stochastic differential equations with pp-integrable data and generators satisfying the monotonicity condition. We also show that the solution may be approximated by the penalization method. Our results are new even in the classical case p=2p=2.