Mean-field reflected BSDEs with non-Lipschitz coefficients

Abstract

This paper aims at solving mean-field reflected backward stochastic equations in $L^p(p>1)$ sense under a type of weaker assumptions on the coefficients. With the help of nonlinear Snell envelope representation and a more accurate approximation method, we establish the well-posedness of mean-field reflected backward stochastic equations whenever the y and ν arguments of its generator are not Lipschitz continuous.