Orlicz estimates for nondivergence linear elliptic equations with partially BMO coefficients
Huizhen Li, Junjie Zhang, Shenzhou Zheng · Complex Variables and Elliptic Equations · 2017
We prove a local Orlicz estimate of the Hessian of strong solutions to a class of nondivergence linear elliptic equations . The leading coefficients are assumed to be measurable in one variable and have small BMO-norms in the other variables. To attain our aim, an approximation approach, the Orlicz boundedness of the Hardy–Littlewood maximal functions and an equivalent representation of Orlicz norm are employed.