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

Date

2023-04-05

Authors

Jia, Xiaobiao
Ma, Shanshan

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

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.

Description

Keywords

Asymptotic behavior, Degenerate elliptic equation, Hölder estimate

Citation

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.

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Attribution 4.0 International

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