2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164741This paper deals with the problem of existence and uniqueness of a solution for a backward stochastic differential equation (BSDE for short) with one reflecting barrier in the case when the terminal value, the generator and the obstacle process are Lp-integrable with p in ]1,2[. To construct the solution we use two methods: penalization and Snell envelope. As an application we broaden the class of functions for which the related obstacle partial differential equation problem has a unique viscosity solution.32 pagesProbabilityLp-Solutions for Reected Backward Stochastic Differential Equationstext