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arXiv · 2511.16152

Liouville theorems for fully nonlinear elliptic equations on half spaces

Yuanyuan Lian
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Abstract

In this note, we prove two Liouville theorems for fully nonlinear uniformly elliptic equations on half spaces. The main tools are the boundary pointwise regularity, the Hopf type estimate and the Carleson type estimate. Our new proof is rather short.

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Yuanyuan Lian. 2025-11-20. Liouville theorems for fully nonlinear elliptic equations on half spaces. https://arxiv.org/abs/2511.16152

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