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

Espin, Tim, Karakhanyan, Aram

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.

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