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Regularity of the degenerate Monge-Ampère equation on compact Kähler manifolds

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Abstract.

We study the C1,1 and Lipschitz regularity of the solutions of the degenerate complex Monge-Ampère equation on compact Kähler manifolds. In particular, in view of the local regularity for the complex Monge-Ampère equation, the obtained C1,1 regularity is a generalization of the Yau theorem which deals with the nondegenerate case.

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  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059, Kraków, Poland

    Z. Blocki

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  1. Z. Blocki
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Partially supported by KBN Grant #2 P03A 028 19

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Blocki, Z. Regularity of the degenerate Monge-Ampère equation on compact Kähler manifolds. Math. Z. 244, 153–161 (2003). https://doi.org/10.1007/s00209-002-0483-x

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  • DOI: https://doi.org/10.1007/s00209-002-0483-x

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