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

被引：0

作者：

Liu, Caifeng ^{[1
]}

Zhang, Wanwan ^{[2
]}

机构：

[1] Northwest Univ, Ctr Nonlinear Studies, Sch Math, Xian 710127, Peoples R China

[2] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 537卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Dirichlet problem; Monge-Amp & egrave; re type equations; Global H & ouml; lder regularity; MONGE-AMPERE EQUATION;

D O I：

10.1016/j.jmaa.2024.128311

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

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页数：25

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