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Since we cannot expect to have solutions belonging to $ H^1 $, the main difficulty is to express the corrector result through the truncations of the solutions, together with the fact that the definition of a renormalized solution contains test functions which are nonlinear functions of the solution itself.&lt;\/p&gt;&lt;\/abstract&gt;<\/jats:p>","DOI":"10.3934\/nhm.2023054","type":"journal-article","created":{"date-parts":[[2023,4,25]],"date-time":"2023-04-25T13:07:33Z","timestamp":1682428053000},"page":"1236-1259","source":"Crossref","is-referenced-by-count":2,"title":["Corrector results for a class of elliptic problems with nonlinear Robin conditions and $ L^1 $ data"],"prefix":"10.3934","volume":"18","author":[{"given":"Patrizia","family":"Donato","sequence":"first","affiliation":[{"name":"Univ Rouen Normandie, CNRS, LMRS UMR 6085, F-76000, Rouen, France"}]},{"given":"Olivier","family":"Guib\u00e9","sequence":"additional","affiliation":[{"name":"Univ Rouen Normandie, CNRS, LMRS UMR 6085, F-76000, Rouen, France"}]},{"given":"Alip","family":"Oropeza","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, University of the Philippines - Diliman, 1101 Diliman, Quezon City, Philippines"}]}],"member":"2321","reference":[{"key":"key-10.3934\/nhm.2023054-1","doi-asserted-by":"publisher","unstructured":"M. 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