A visual formalism for weights satisfying reverse inequalities

In this expository article we introduce a diagrammatic scheme to represent reverse classes of weights and some of their properties.

Harnacks inequality for solutions to the linearized Monge-Ampere equation under minimal geometric assumptions

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.