Boundary estimates for solutions to operators of p-Laplace type with lower order terms

In this paper we study the boundary behavior of solutions to equations of the form A(x, u)+B(x, u)=0, in a domain Ω Rn, assuming that Ω is a δ-Reifenberg flat domain for δ sufficiently small. The function A is assumed to be of p-Laplace character. Concerning B, we assume that ηB(x,η) cηp−2, B(x,η) cηp−1, for some constant c, and that B(x,η)=ηp−1B(x,η/η), whenever x Rn, η Rn {0}. In particular, we generalize the results proved in J. Lewis et al. (2008) [12] concerning the equation A(x, u)=0, to equations including lower order terms.