Global $C^{1,α}$ regularity for Monge-Ampère equations on planar convex domains
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929690467368960 |
|---|---|
| author | Han, Qing Liu, Jiakun Zhou, Yang |
| author_facet | Han, Qing Liu, Jiakun Zhou, Yang |
| contents | In this paper, we establish the global Hölder gradient estimate for solutions to the Dirichlet problem of the Monge-Ampère equation $\det D^2u = f$ on strictly convex but not uniformly convex domain $Ω$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17337 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global $C^{1,α}$ regularity for Monge-Ampère equations on planar convex domains Han, Qing Liu, Jiakun Zhou, Yang Analysis of PDEs In this paper, we establish the global Hölder gradient estimate for solutions to the Dirichlet problem of the Monge-Ampère equation $\det D^2u = f$ on strictly convex but not uniformly convex domain $Ω$. |
| title | Global $C^{1,α}$ regularity for Monge-Ampère equations on planar convex domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.17337 |