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

[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.

[学科分类] 数学（综合）

[关键词] Asymptotic behavior;degenerate elliptic equation;Holder estimate