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Geometric Viewpoint of $L^\infty$ Estimates for Linearized Monge-Ampère Equations
We prove a Harnack inequality on Monge--Ampère gradient graphs under suitable geometric bounds, giving us interior $L^\infty$ estimates for the linearized Monge--Ampère equation. The proof combines Moser iteration on extrensic balls with a gradient estimate for the extrinsic distance function. The a
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