一类退化奇异的monge - ampatire方程

IF 0.6 Q4 MATHEMATICS, APPLIED

Methods and applications of analysis Pub Date : 2019-08-18 DOI:10.4310/maa.2021.v28.n3.a8

H. Jian, You Li, Xushan Tu

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引用次数: 3

摘要

本文证明了一类在凸域边界上可退化奇异的Monge-Ampere型方程的Dirichlet问题的存在唯一性和全局H$\ddot{o}$老连续性。我们将建立解的H$\ddot{o}$老指数与定域的凸性之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a class of degenerate and singular Monge–Ampère equations

In this paper we shall prove the existence, uniqueness and global H$\ddot{o}$lder continuity for the Dirichlet problem of a class of Monge-Ampere type equations which may be degenerate and singular on the boundary of convex domains. We will establish a relation of the H$\ddot{o}$lder exponent for the solutions with the convexity for the domains.

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来源期刊

Methods and applications of analysis MATHEMATICS, APPLIED-

自引率

33.30%

发文量