| 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.
|
| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11301231; 11171235). |
|
| Hits: 2691 |
| Download times: 2223 |
| 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 |
| View Full Text View/Add Comment |
