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arXiv · 2006.09814

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

Tim Espin·Aram Karakhanyan
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Abstract

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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Tim Espin, Aram Karakhanyan. 2020-06-17. Boundary Estimates for solutions of the Monge-Ampere equation satisfying Dirichlet-Neumann type conditions in annular domains. https://arxiv.org/abs/2006.09814

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