Article ID Journal Published Year Pages File Type
8899138 Journal of Differential Equations 2017 13 Pages PDF
Abstract
The global Cn+2,α-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 C∞-regularity in the even dimensional case.
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Physical Sciences and Engineering Mathematics Analysis
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