On $L^\infty$ estimates for Monge-Ampère and Hessian equations on nef classes
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910362861830144 |
|---|---|
| author | Guo, Bin Phong, Duong H. Tong, Freid Wang, Chuwen |
| author_facet | Guo, Bin Phong, Duong H. Tong, Freid Wang, Chuwen |
| contents | The PDE approach developed earlier by the first three authors for $L^\infty$ estimates for fully non-linear equations on Kähler manifolds is shown to apply as well to Monge-Ampère and Hessian equations on nef classes. In particular, one obtains a new proof of the estimates of Boucksom-Eyssidieux-Guedj-Zeriahi and Fu-Guo-Song for the Monge-Ampère equation, together with their generalization to Hessian equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_14186 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On $L^\infty$ estimates for Monge-Ampère and Hessian equations on nef classes Guo, Bin Phong, Duong H. Tong, Freid Wang, Chuwen Differential Geometry Analysis of PDEs The PDE approach developed earlier by the first three authors for $L^\infty$ estimates for fully non-linear equations on Kähler manifolds is shown to apply as well to Monge-Ampère and Hessian equations on nef classes. In particular, one obtains a new proof of the estimates of Boucksom-Eyssidieux-Guedj-Zeriahi and Fu-Guo-Song for the Monge-Ampère equation, together with their generalization to Hessian equations. |
| title | On $L^\infty$ estimates for Monge-Ampère and Hessian equations on nef classes |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2111.14186 |