Global smoothness for a singular Monge-Ampere equation
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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.
Collections | ANU Research Publications |
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Date published: | 2017-12-05 |
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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