×

An elliptic problem with a layer. (English) Zbl 0959.35071

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.

MSC:

35J70 Degenerate elliptic equations
35B65 Smoothness and regularity of solutions to PDEs
35B45 A priori estimates in context of PDEs
PDFBibTeX XMLCite