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arxiv: 1110.5263 · v2 · pith:4U4BLRKOnew · submitted 2011-10-24 · 🧮 math.AP · math.CA

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

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keywords geometricharnackinequalityminimalsolutionsadaptedapplicationassumptions
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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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