The Abreu equation with degenerated boundary conditions

DOI10.1016/j.jde.2012.02.004zbMath1247.14052OpenAlexW1966689873MaRDI QIDQ414809

Li Sheng, An-Min Li, Bo Hui Chen

Publication date: 11 May 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.02.004

zbMATH Keywords

toric geometryinterior estimatesAbreu's equation

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15)

Related Items (9)

Extremal metrics on toric surfaces ⋮ \(W^{4, p}\) solution to the second boundary value problem of the prescribed affine mean curvature and Abreu's equations ⋮ Remarks on sharp boundary estimates for singular and degenerate Monge-Ampère equations ⋮ Interior regularity on the Abreu equation ⋮ A Bernstein property of certain types of fourth order partial differential equations ⋮ Interior estimates for the \(n\)-dimensional Abreu's equation ⋮ Some estimates for the generalized Abreu equation ⋮ The stabilities of \(\mathbb{C} P^2 {\#} \overline{2 \mathbb{C} P^2} \) ⋮ Interior regularity for the generalized Abreu equation

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