Remarks on Global Hölder regularity for a class of Monge-Ampère type equations

In this paper, we revisit the global H & ouml;lder regularity of nonzero convex solutions to the Dirichlet problem for a class of Monge -Amp & egrave;re type equations. Based on the comparison principle, by choosing delicate auxiliary functions to construct the subsolutions, we extend the boundary regularity obtained in [Li -Li, Sci. China Math. 65 (3) (2022)] to more general equations, in which the parameters alpha, beta, gamma in the boundness condition are less restrictive. Also, the non-decreasing condition there can be replaced with a homogeneous type condition. (c) 2024 Elsevier Inc. All rights reserved.