The paper “An interior a priori estimate for solutions to Monge-Ampère equations with right-hand side close to one” co-authored by Tom O’Neill and Bin Cheng has been accepted for publication in the Journal of Differential equations. A link to the final form arXiv version is here. The image below shows the main theorem proved in the paper.
![](https://blogs.surrey.ac.uk/mathsresearch/wp-content/uploads/sites/11/2021/04/Theorem-1.png)