Boundary Estimates for solutions of the Monge-Ampere equation satisfying Dirichlet-Neumann type conditions in annular domains

preprint2022arXivOpen access

Abstract

We consider smooth solutions to the Monge-Amp`ere equation subject to mixed boundary conditions on annular domains. We establish global C2C^2 estimates when the boundary of the domain consists of two smooth strictly convex closed hypersurfaces.

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