论文标题
在环形域中满足Dirichlet-Neumann类型条件的Monge-Ampere方程解的边界估计值
Boundary Estimates for solutions of the Monge-Ampere equation satisfying Dirichlet-Neumann type conditions in annular domains
论文作者
论文摘要
我们考虑对Monge-Amp`方程的平滑溶液,但受环形域上的混合边界条件为止。当域的边界由两个平滑的严格凸出封闭的超曲面组成时,我们建立了全局$ c^2 $估计。
We consider smooth solutions to the Monge-Amp`ere equation subject to mixed boundary conditions on annular domains. We establish global $C^2$ estimates when the boundary of the domain consists of two smooth strictly convex closed hypersurfaces.