%0 Journal Article %T A note on higher regularity boundary Harnack inequality %A Daniela De Silva %A Ovidiu Savin %J Mathematics %D 2014 %I arXiv %X We show that the quotient of two positive harmonic functions vanishing on the boundary of a $C^{k,\alpha}$ domain is of class $C^{k,\alpha}$ up to the boundary. %U http://arxiv.org/abs/1403.2588v1