Article ID Journal Published Year Pages File Type
4620863 Journal of Mathematical Analysis and Applications 2008 15 Pages PDF
Abstract

In this paper we are concerned with the regularity in Morrey spaces for weak solutions of a class of degenerate elliptic equations when the coefficient matrices satisfy certain VMO conditions in x uniformly with respect to u and the lower order terms satisfy a natural growth condition. Interior Hölder continuity of weak solutions is also derived with the improvement of the given data regularities.

Related Topics
Physical Sciences and Engineering Mathematics Analysis