Singular Solutions to the Monge-Ampere Equation
This thesis contains the author's results on singular solutions to the Monge-Ampere equation \det D^2u = 1. We first prove that solutions are smooth away from a small closed singular set of Hausdorff (n-1)-dimensional measure zero. We also construct solutions with a singular set of Hausdorff di...
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| Language: | English |
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2015
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| Online Access: | https://doi.org/10.7916/D89K4955 |