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Global smoothness for a singular Monge-Amp?re equation

Jian, Huai-Yu; Wang, Xu-Jia; Zhao, Yuwen

Description

The global -regularity for the graph of solutions to a singular Monge–Ampère equation was established in [7]. This equation arises in the study of hyperbolic affine spheres and is singular at the boundary. A compatibility condition for higher regularity was found in [7]. In this paper, we verify the compatibility condition and obtain the global -regularity in the even dimensional case.

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
URI: http://hdl.handle.net/1885/218071
Source: Journal of Differential Equations
DOI: 10.1016/j.jde.2017.08.004

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