Boundary regularity for quasi-linear elliptic equations with continuous boundary data

Suppose G is a bounded C² domain in _ℝⁿ, n ≥2. We examine the regularity at the boundary of solutions to a class of quasi-linear elliptic equations having continuous boundary values φ. If φhas a modulus of continuity ß, we give a modulus of continuity for the solution which depends on ßand the generalized mean curvature of ∂G. When the order of non-uniformity of the equation is between 0 and 1, no curvature condition on ∂G is needed.