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

Tim Espin; Aram Karakhanyan

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

School of Mathematics

Research output: Working paper › Preprint

Abstract / Description of output

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.

Original language	English
Publisher	ArXiv
Publication status	Published - 17 Jun 2020

Keywords / Materials (for Non-textual outputs)

math.AP

Access to Document

2006.09814v2Submitted manuscript, 465 KB

https://arxiv.org/abs/2006.09814

Cite this

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PB - ArXiv

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

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

Access to Document

Fingerprint

Cite this