Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 33, pp. 1-13.

Title: Holder estimates and asymptotic behavior for degenerate elliptic equations in the half space
       
Authors: Xiaobiao Jia (North China Univ. Water Resources, Zhengzhou, China)
         Shanshan Ma (Zhengzhou Univ., Zhengzhou, China)

Abstract: 
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.

Submitted September 17, 2022. Published April 05, 2023.
Math Subject Classifications: 35B40, 35J70, 35B65.
Key Words: Asymptotic behavior; degenerate elliptic equation; Holder estimate.