Abstract
We consider the complex Monge-Ampère equation with an additional linear gradient term inside the determinant.We prove existence and uniqueness of solutions to this equation on compact Hermitian manifolds.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1005-1024 |
| Number of pages | 20 |
| Journal | Pure and Applied Mathematics Quarterly |
| Volume | 17 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2021 |
Funding
Partially supported by NSF grants DMS-1610278 and DMS-1903147. Part of this work was done while the first-named author was visiting the Center for Mathematical Sciences and Applications at Harvard University, which he thanks for the hospitality. Partially supported by NSF grant DMS-1709544. Received May 11, 2019. ∗Partially supported by NSF grants DMS-1610278 and DMS-1903147. Part of this work was done while the first-named author was visiting the Center for Mathematical Sciences and Applications at Harvard University, which he thanks for the hospitality. †Partially supported by NSF grant DMS-1709544.
ASJC Scopus subject areas
- General Mathematics