On the boundary Harnack principle in Hölder domains

Abstract

We investigate the boundary Harnack principle for uniformly elliptic operators in divergence form in Hölder domains of exponent α>0. We also deal with operators in nondivergence form with coefficient that remain constant in the graph direction.

Keywords

• boundary harnack principle
• hölder domains
• divergence operators
• non-divergence operators
• carleson estimate