A Monge-Ampère type fully nonlinear equation on Hermitian manifolds

DOI10.3934/dcdsb.2012.17.1991zbMath1254.32055arXiv1210.5551OpenAlexW2963550100MaRDI QIDQ449293

Bo Guan, Qun Li

Publication date: 12 September 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5551

zbMATH Keywords

a priori estimatesComplex Monge-Ampère equationFully nonlinear equationsHermitian manifolds

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32) Complex Monge-Ampère operators (32W20)

Related Items (11)

Gradient estimates for Monge-Ampère type equations on compact almost Hermitian manifolds with boundary ⋮ On a class of fully nonlinear elliptic equations on closed Hermitian manifolds ⋮ Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds ⋮ Hessian equations of Krylov type on Kähler manifolds ⋮ The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds ⋮ On Bismut flat manifolds ⋮ On a class of fully nonlinear elliptic equations on Hermitian manifolds ⋮ The parabolic Monge-Ampère equation on compact almost Hermitian manifolds ⋮ The conical complex Monge-Ampère equations on Kähler manifolds ⋮ A criterion for the properness of the \(K\)-energy in a general Kähler class ⋮ A priori estimates for Donaldson's equation over compact Hermitian manifolds

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