Harnack's inequality for solutions to the linearized Monge-Ampere equation under minimal geometric assumptions

Abstract

We prove a Harnack inequality for solutions to $L_{A}u=0$ where the elliptic matrix $A$ is adapted to a convex function satisfying minimal geometric conditions. An application to Sobolev inequalities is included.

A claim after equation (2.12) is unsubstantiated. I'm withdrawing the manuscript until I figure out if I can fix it. The main application to Sobolev inequalities should still hold true. I thank Truyen Van Nguyen for pointing out this error