半空间中退化椭圆方程的Holder估计及其渐近性态

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-04-05 DOI:10.58997/ejde.2023.33

Xiaobiao Jia, Shan Ma

引用次数: 0

摘要

本文研究了退化椭圆方程粘性解在无穷大处的渐近性态。我们通过使用重新缩放方法获得Holder估计，直到平坦边界。作为副产品，我们得到了关于Baouendi-Grushin型算子的Liouville型结果。

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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Holder estimates and asymptotic behavior for degenerate elliptic equations in the half space

In this article we investigate the asymptotic behavior at infinity of viscosity solutions to degenerate elliptic equations. We obtain Holder estimates, up to the flat boundary, by using the rescaling method. Also as a byproduct we obtain a Liouville type result on Baouendi-Grushin type operators.

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.