论文信息 - Global smoothness for a singular Monge–Ampère equation☆

Global smoothness for a singular Monge–Ampère equation☆

Abstract The global C n + 2 , α -regularity for the graph of solutions to a singular Monge–Ampere 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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