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

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

2011-10-24

arxiv.org/abs/1110.5263v2

Mathematics

Analysis of PDEs

A claim after equation (2.12) is unsubstantiated. I'm withdrawing the manuscript until I figure out if I can fix it. The main

Scientific paper

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.

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