The Abreu equation with degenerated boundary conditions

Bohui Chen,An-Min Li,Li Sheng

doi:10.1016/j.jde.2012.02.004

The Abreu equation with degenerated boundary conditions

Bohui Chen, An-Min Li + Show 1 more

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https://doi.org/10.1016/j.jde.2012.02.004

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Journal: Journal of Differential Equations	Publication Date: Feb 23, 2012
Citations: 18	License type: publisher-specific-oa

Affiliation: Sichuan University

#4th Order Partial Differential Equation #Metrics Of Constant Scalar Curvature + Show 8 more

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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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