Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899138 | Journal of Differential Equations | 2017 | 13 Pages |
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 Câ-regularity in the even dimensional case.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Huaiyu Jian, Xu-Jia Wang, Yuwen Zhao,