Derivative Estimates for the Solution of Hyperbolic Affine Sphere Equation

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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.

Keywords:

hyperbolic affine sphere Monge-Ampère equation derivative estimate.
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DOI

10.13447/j.1674-5647.2015.01.07

How to Cite

Derivative Estimates for the Solution of Hyperbolic Affine Sphere Equation. (2021). Communications in Mathematical Research, 31(1), 62-70. https://doi.org/10.13447/j.1674-5647.2015.01.07