On $L^\infty$ estimates for complex Monge-Ampère equations
Annals of Mathematics(2023)
摘要
A PDE proof is provided for the sharp $L^\infty$ estimates for the complex Monge-Ampère equation that had required pluripotential theory before. The proof covers both cases of fixed background as well as degenerating background metrics. It extends to more general fully non-linear equations satisfying a structural condition, and it also gives estimates of Trudinger type.
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关键词
monge-amp
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