Liouville theorems for fully nonlinear elliptic equations on half spaces

Fuente: arXiv
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1. Verfasser: Lian, Yuanyuan
Format: Preprint
Veröffentlicht: 2025
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author Lian, Yuanyuan
author_facet Lian, Yuanyuan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_16152
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Liouville theorems for fully nonlinear elliptic equations on half spaces
Lian, Yuanyuan
Analysis of PDEs
35B53, 35B65, 35D40, 35J25, 35J60
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.
title Liouville theorems for fully nonlinear elliptic equations on half spaces
topic Analysis of PDEs
35B53, 35B65, 35D40, 35J25, 35J60
url https://arxiv.org/abs/2511.16152