The Abreu equation with degenerated boundary conditions |
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| Authors: | Bohui Chen An-Min Li Li Sheng |
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| Institution: | 1. Yangtze Center of Mathematics, Department of Mathematics, Sichuan University, Chengdu, China;2. Department of Mathematics, Sichuan University, Chengdu, China |
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| 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. |
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