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On interior $C^2$ -estimates for the Monge-Ampère equation

The author is supported by NSF grant DMS 1361754.
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  • An approach towards apriori interior $C^2$-estimates for the Monge-Ampère equation based on a mean-value inequality for nonnegative subsolutions to the linearized Monge-Ampère equation is implemented.

    Mathematics Subject Classification: Primary: 35J96, 35B45; Secondary: 35B65, 35J70.


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