Xiaobiao Jia, Shanshan Ma
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 5, 2023.
Math Subject Classifications: 35B40, 35J70, 35B65.
Key Words: Asymptotic behavior; degenerate elliptic equation; Holder estimate.
DOI: https://doi.org/10.58997/ejde.2023.33
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Xiaobiao Jia School of Mathematics and Statistics North China University of Water Resources and Electric Power Zhengzhou 450046, China email: jiaxiaobiao@ncwu.edu.cn |
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Shanshan Ma School of Mathematics and Statistics Zhengzhou University Zhengzhou 450001, China email: mass1210@zzu.edu.cn |
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