科研之友
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摘要
We prove a local regularity (and a corresponding a priori estimate) for plurisubharmonic solutions of the nondegenerate complex Monge-Ampere equation assuming that theirW(2,p)-norm is under control for some p > n(n-1). This condition is optimal. We use in particular some methods developed by Trudinger and an estimate for the complex Monge-Ampere equation due to Kolodziej.
- 出版日期2011-10
