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- W2056516106 abstract "We establish interior estimates for Lp-norms, Orlicz norms, and mean oscillation of second derivatives of solutions to the Monge-Ampère equation det D2u = f(x) with zero boundary value, where f(x) is strictly positive, bounded, and satisfies a VMO-type condition. These estimates develop the regularity theory of the Monge-Ampère equation in VMO-type spaces. Our Orlicz estimates also sharpen Caffarelli's celebrated W2, p-estimates. © 2008 Wiley Periodicals, Inc." @default.
- W2056516106 created "2016-06-24" @default.
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- W2056516106 date "2009-05-01" @default.
- W2056516106 modified "2023-10-17" @default.
- W2056516106 title "Sharp regularity results on second derivatives of solutions to the Monge-Ampère equation with VMO type data" @default.
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- W2056516106 doi "https://doi.org/10.1002/cpa.20272" @default.
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