Corrector results for elliptic problems with interfacial barrier and weak data

In this work, we study the convergence of the energies and the corrector results for the homogenization results of elliptic problems posed in two-component domains previously studied by Fulgencio and Maza. The data is assumed to be in L1 and so we work within the renormalized solution framework. The convergence of the energies and the corrector results are studied using the periodic unfolding method. The corrector results in this work only cover the linear case as there are some regularity issues when dealing with quasilinear problems.