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

Electronic Journal of Differential Equations

article

Xiaobiao Jia¹  Shanshan Ma² 

[1]School of Mathematics and Statistics North China University of Water Resources and Electric Power Zhengzhou 450046

[2]School of Mathematics and Statistics Zhengzhou University Zhengzhou 450001

关键词: Asymptotic behavior;    degenerate elliptic equation;    Holder estimate;   

DOI  :  10.58997/ejde.2023.33

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

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 therescaling method. Also as a byproduct we obtain a Liouville type result on Baouendi-Grushin type operators.

【 授权许可】

CC BY