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arxiv: 1305.3895 · v2 · pith:4W6YKRXEnew · submitted 2013-05-16 · 🧮 math.AP

W^(2,1) estimate for singular solutions to the Monge-Ampere equation

classification 🧮 math.AP
keywords equationestimatemonge-amperesingularsolutionsconstructexampleinterior
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We prove an interior $W^{2,1}$ estimate for singular solutions to the Monge-Ampere equation, and construct an example to show our results are optimal.

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