@UNPUBLISHED{publication1, title = "Existence and improved regularity for a nonlinear system with collapsing ellipticity", author = "{PIMENTEL, Edgard A.} and {URBANO, Jos{\'{e}} Miguel}", year = "2019-02-01", abstract = "We study a nonlinear system made up of an elliptic equation of blended singular/degenerate type and Poisson\’s equation with a lowly integrable source. We prove the existence of a weak solution in any space dimension and, chiefly, derive an improved C1,Log-Lip regularity estimate using tangential analysis methods. The system illustrates a sophisticated version of the proverbial thermistor problem and our results are new even in simpler modelling scenarios. ", url = "http://www.mat.uc.pt/preprints/eng\_2019.html", note = "" }