Reflected BSDE's with discontinuous barrier and application

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The smallest g-supermartingale and reflected BSDE with single and double L2 obstacles (2005, unknown): “In the case whereL has càdlàg (right continuous with li limit) paths, a generalized Skorohod condition, similar to the original one, was given by Hamadene [12] an explicitly, by Lepeltier and Xu [16].”
Reflected BSDE with a constraint and its applications in an incomplete market (2010, result): “This result, obtained in [38], is a generalized version of [15], [19] and [29] for the part of existence, and [22] for the part of comparison theorem.”
Backward Stochastic Differential Equation, Nonlinear Expectation and Their Applications (2011, background): “L and U can be càdlàg or even L2-processes and g admits a quadratic growth condition, see e.g. Hamadene (2002), Lepeltier and Xu (2005), Peng and Xu (2005) and many other related results.”
Reflected Backward Stochastic Differential Equation with Jumps and RCLL Obstacle (2008, methodology): “p(S(·) + Kd) = Si(·) + Kd i = (S(·) + Kd)i, where p(S(·) + Kd) denote the predictable projection of (S(·)+Kd), using the same argument as in Lepeltier & Xu [12] (see also [ 7 ]) we have also”
Viscosity solutions of fully nonlinear parabolic path dependent PDEs: Part II (2012, methodology): “Our proof relies heavily on the theory of Reflected BSDEs, for which we refer to El Karoui et al [13], Hamadène [15], and Peng and”