A note on the Liouville theorem of fully nonlinear elliptic equations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916592195993600 |
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| author | Li, Dongsheng Liang, Lichun |
| author_facet | Li, Dongsheng Liang, Lichun |
| contents | In this paper, a new method is presented to investigate the asymptotic behavior of solutions to the fully nonlinear uniformly elliptic equation $F(D^2u)=0$ in exterior domains. This method does not depend on the $C^2$ regularity of $F$ and the dimension $n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_19075 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the Liouville theorem of fully nonlinear elliptic equations Li, Dongsheng Liang, Lichun Analysis of PDEs In this paper, a new method is presented to investigate the asymptotic behavior of solutions to the fully nonlinear uniformly elliptic equation $F(D^2u)=0$ in exterior domains. This method does not depend on the $C^2$ regularity of $F$ and the dimension $n$. |
| title | A note on the Liouville theorem of fully nonlinear elliptic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.19075 |