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

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Date
2023-04-05
Authors
Jia, Xiaobiao
Ma, Shanshan
Journal Title
Journal ISSN
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.
URI
https://hdl.handle.net/10877/16868
Collections
Electronic Journal of Differential Equations