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| A Third Derivative Estimate for Monge-Ampere Equations with Conic Singularities |
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Citation： |
Gang TIAN.A Third Derivative Estimate for Monge-Ampere Equations with Conic Singularities[J].Chinese Annals of Mathematics B,2017,38(2):687~694 |
| Page view： 642
Net amount： 441 |
Authors： |
Gang TIAN; |
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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
$C^{2,\alpha}$-estimate, for complex Monge-Ampere equations in the
conic case. This $C^{2,\alpha}$-estimate was used by
Jeffres-Mazzeo-Rubinstein in their proof of the existence of
K\"ahler-Einstein metrics with conic singularities. |
Keywords： |
Complex, Monge-Ampere, Conic, $C^alpha$-estimate |
Classification： |
32W, 35J |
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