Asymptotic expansion at infinity of solutions to Monge-Ampère equation with $C^α$ right term
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915126075981824 |
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| author | Qi, Shuai Bao, Jiguang |
| author_facet | Qi, Shuai Bao, Jiguang |
| contents | We develop a non-local method to establish the asymptotic expansion at infinity of solutions to Monge-Ampère equation $\det(D^2v)=f$ on $\rn$, where $f$ is a perturbation of $1$ and is only assumed to be Hölder continuous outside a bounded subset of $\rn$, compared to the previous work that $f$ is at least $C^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16667 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic expansion at infinity of solutions to Monge-Ampère equation with $C^α$ right term Qi, Shuai Bao, Jiguang Analysis of PDEs 35B40, 35J60, 35J96 We develop a non-local method to establish the asymptotic expansion at infinity of solutions to Monge-Ampère equation $\det(D^2v)=f$ on $\rn$, where $f$ is a perturbation of $1$ and is only assumed to be Hölder continuous outside a bounded subset of $\rn$, compared to the previous work that $f$ is at least $C^2$. |
| title | Asymptotic expansion at infinity of solutions to Monge-Ampère equation with $C^α$ right term |
| topic | Analysis of PDEs 35B40, 35J60, 35J96 |
| url | https://arxiv.org/abs/2501.16667 |