  We discuss conditions for Lipschitz and C^1 regularity for a uniformly
elliptic equation in divergence form with coefficients that were introduced by
Gilbarg & Serrin. In particular, we find cases where Lipschitz or C^1
regularity holds but the coefficients are not Dini continuous, or do not even
have Dini mean oscillation. The form of the coefficients also enables us to
obtain specific conditions and examples for which there exists a weak solution
that is not Lipschitz continuous.
