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

preprint2012arXivOpen access

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

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