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An analytic proof of the Krylov estimates for the complex Monge-Ampere equation and applications
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🧮 math.CV
math.AP
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analyticcomplexestimateskrylovproofapplicationapplicationsboundary
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We provide an analytic proof of a theorem of Krylov dealing with global $C^{1,1}$ estimates to solutons of degenerate complex Monge-Amp\`ere equations. As an application we show optimal regularity for various extremal functions with nonconstant boundary values.
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