A Third Derivative Estimate for Monge-Ampere Equations with Conic Singularities |
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| Authors: | Gang TIAN |
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| Affiliation: | Beijing International Center for Mathematical Research, Beijing University, Beijing 100871, China;Mathematics Department, Princeton University, Fine Hall, Washington Road, Princeton NJ 08544-1000, USA |
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| Abstract: | The author applies the arguments in his PKU Master degree thesis in 1988 to derive a third derivative estimate,and consequently,a C2,α-estimate,for complex MongeAmpere equations in the conic case.This C2,α-estimate was used by Jeffres-MazzeoRubinstein in their proof of the existence of K（a）hler-Einstein metrics with conic singularities. |
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| Keywords: | Complex Monge-Ampere Conic Cα-estimate |
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