| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611404 | Journal of Differential Equations | 2012 | 25 Pages |
Abstract
The Abreu equation is a fully nonlinear 4th order partial differential equation that arises from the study of the extremal metrics on toric manifolds. We study the Dirichlet problem of the Abreu equation with degenerated boundary conditions. The solutions provide the Kähler metrics of constant scalar curvature on the complex torus.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
