【摘要】
The existence and regularity of the Guillemin boundary problem for the MA equation in a polytope is established by work of Rubin, Huang and Huang-Sheng in the case of smooth Right hand side. This problem is a bit different from the complex Monge-Ampere equation on toric manifolds. However, there are some features that are common in both of these problems. In this talk, we study the regularity of the solutions if the right hand side is merely Holder continuous.
