Biroli, M. An elliptic problem with a layer. (English) Zbl 0959.35071 Riv. Mat. Univ. Parma (6) 2*, 1-14 (1999). The author considers the problem of local regularity for a local solution of an elliptic problem with a layer. The difficulty comes from the different homogeneity degree between the measure of a ball and the measure of its intersection with the layer. The main tool is a modification of the balls centered on the layer. Reviewer: Z.G.Sheftel’ (Göttingen) MSC: 35J70 Degenerate elliptic equations 35B65 Smoothness and regularity of solutions to PDEs 35B45 A priori estimates in context of PDEs Keywords:variational solution; local regularity PDFBibTeX XMLCite \textit{M. Biroli}, Riv. Mat. Univ. Parma (6) 2*, 1--14 (1999; Zbl 0959.35071)