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

Authors

  • Xiaobiao Jia North China Univ. Water Resources, Zhengzhou, China
  • Shanshan Ma Zhengzhou Univ., Zhengzhou, China

DOI:

https://doi.org/10.58997/ejde.2023.33

Keywords:

Asymptotic behavior, degenerate elliptic equation, Holder estimate

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.

For more information see https://ejde.math.txstate.edu/Volumes/2023/33/abstr.html

References

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Published

2023-04-05

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How to Cite

Holder estimates and asymptotic behavior for degenerate elliptic equations in the half space. (2023). Electronic Journal of Differential Equations, 2023(01-87), No. 33, 1-13. https://doi.org/10.58997/ejde.2023.33