Derivative Estimates for the Solution of Hyperbolic Affine Sphere Equation
DOI:
https://doi.org/10.13447/j.1674-5647.2015.01.07Keywords:
hyperbolic affine sphere, Monge-Ampère equation, derivative estimate.Abstract
Considering the hyperbolic affine sphere equation in a smooth strictly convex bounded domain with zero boundary values, the sharp derivative estimates of any order for its convex solution are obtained.