Liouville theorems for fully nonlinear elliptic equations on half spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909915428159488 |
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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 |