| Second Order Derivative Estimates of the Solutions of a Class of Monge-Amp\`{e}re Equations |
| Received:July 19, 2013 Revised:January 14, 2014 |
| Key Words:
Monge-Amp\`{e}re equation derivative estimate relative differential geometry.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11301231; 11171235). |
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| Abstract: |
| In this paper, we consider a class of Monge-Amp\`{e}re equations in relative differential geometry. Given these equations with zero boundary values in a smooth strictly convex bounded domain, we obtain second order derivative estimates of the convex solutions. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.04.010 |
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