Hölder estimates and asymptotic behavior for degenerate elliptic equations in the half space
Texas State University, Department of Mathematics
In this article we investigate the asymptotic behavior at infinity of viscosity solutions to degenerate elliptic equations. We obtain Hölder 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.
Asymptotic behavior, Degenerate elliptic equation, Hölder estimate
Jia, X., & Ma, S. (2023). Hölder estimates and asymptotic behavior for degenerate elliptic equations in the half space. <i>Electronic Journal of Differential Equations, 2023</i>(33), pp. 1-13.