Weak solutions of complex Hessian equations on compact Hermitian manifolds
type: Item
instance of: scholarly article
title: Weak solutions of complex Hessian equations on compact Hermitian manifolds
zbMATH Open document ID: 1381.53136
DOI: 10.1112/S0010437X16007417
author: Slawomir Kołodziej
author: Ngoc C. Nguyen
publication date: 2017-09-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/1507.06755
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 35J96
Mathematics Subject Classification ID: 32U40
zbMATH DE Number: 6782001
zbMATH Keywords: Calabi conjecture
zbMATH Keywords: complex Monge-Ampère equation
zbMATH Keywords: compact Kähler manifold
zbMATH Keywords: Hessian equation
zbMATH Keywords: Hermitian manifold
MaRDI profile type: Publication
arXiv ID: 1507.06755
cites work: Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds
cites work: The Dirichlet problem for a complex Monge-Ampère equation
cites work: Rolf Nevanlinna in memoriam
cites work: Weak solutions to the complex Hessian equation.
cites work: On regularization of plurisubharmonic functions on manifolds
cites work: The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
cites work: Numerical characterization of the Kähler cone of a compact Kähler manifold
cites work: Pluripotential estimates on compact Hermitian manifolds
cites work: Liouville and Calabi-Yau type theorems for complex Hessian equations
cites work: A priori estimates for complex Hessian equations
cites work: Mixed Hessian inequalities and uniqueness in the class \(\mathcal {E}(X,\omega ,m)\)
cites work: Continuous approximation of quasiplurisubharmonic functions
cites work: The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
cites work: Q3262807
cites work: Notions of convexity
cites work: A second order estimate for complex Hess equations on a compact Kähler manifold
cites work: A DESCRIPTION OF THE STABILITY CONES GENERATED BY DIFFERENTIAL OPERATORS OF MONGE-AMPÈRE TYPE
cites work: The complex Monge-Ampère equation
cites work: Monge-Ampere equation on compact Kahler manifolds
cites work: The complex Monge-Ampère equation and pluripotential theory
cites work: Weak solutions to the complex Monge-Ampère equation on Hermitian manifolds
cites work: On some inequalities for elementary symmetric functions
cites work: Solutions to degenerate complex Hessian equations
cites work: Degenerate complex Hessian equations on compact Kähler manifolds
cites work: On the existence of special metrics in complex geometry
cites work: The complex Monge-Ampère type equation on compact Hermitian manifolds and applications
cites work: On estimates for the Fu-Yau generalization of a Strominger system
cites work: Fully non-linear elliptic equations on compact Hermitian manifolds
cites work: Gauduchon metrics with prescribed volume form
cites work: \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry
cites work: The complex Monge-Ampère equation on compact Hermitian manifolds
cites work: The k-Hessian Equation
cites work: On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
description: scientific article; zbMATH DE number 6782001