Weak solutions to the complex Hessian type equations for arbitrary measures
type: Item
instance of: scholarly article
title: Weak solutions to the complex Hessian type equations for arbitrary measures
zbMATH Open document ID: 1453.32040
author: Hichame Amal
author: Saïd Asserda
author: Ayoub El Gasmi
published in: Complex Analysis and Operator Theory
publication date: 2020-11-12T00:00:00Z
Mathematics Subject Classification ID: 32U05
Mathematics Subject Classification ID: 32U15
Mathematics Subject Classification ID: 32U40
Mathematics Subject Classification ID: 32W50
zbMATH DE Number: 7273474
zbMATH Keywords: complex Hessian equations
zbMATH Keywords: \(m\)-subharmonic functions
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: \(m\)-hyperconvex domain
zbMATH Keywords: maximal \(m\)-subharmonic function
MaRDI profile type: Publication
full work available at URL: s11785-020-01044-9
OpenAlex ID: W3107388755
cites work: Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds
cites work: Q4201165
cites work: Weak solutions to the complex Monge-Ampère equation on hyperconvex domains
cites work: Weak solutions to the complex Hessian equation.
cites work: The equation of complex Monge-Ampère type and stability of solutions
cites work: A general Dirichlet problem for the complex Monge–Ampère operator
cites work: On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
cites work: The complex Monge–Ampère operator
cites work: Liouville and Calabi-Yau type theorems for complex Hessian equations
cites work: A priori estimates for complex Hessian equations
cites work: Degenerate complex Monge-Ampère equations
cites work: A second order estimate for complex Hess equations on a compact Kähler manifold
cites work: Equations of complex Monge-Ampère type for arbitrary measures and applications
cites work: Hessian measures on m-polar sets and applications to the complex Hessian equations
cites work: Complex Hessian equations on some compact Kähler manifolds
cites work: On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
cites work: A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
cites work: Solutions to degenerate complex Hessian equations
cites work: Degenerate complex Hessian equations on compact Kähler manifolds
cites work: Subsolution theorem for the complex Hessian equation
cites work: Potential theory in the class of \(m\)-subharmonic functions
cites work: On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy
cites work: Local property of a class of \(m\)-subharmonic functions
DOI: 10.1007/S11785-020-01044-9
Recommended article: Weak solutions to the complex Hessian equation.
Recommended article: Weak solutions to the complex \(m\)-Hessian type equations for arbitrary nonnegative Radon measures on open subsets of \(\mathbb{C}^n\)
Recommended article: Weak solutions to the complex \(m\)-Hessian type equation on open subsets of \(\mathbb{C}^n\)
Recommended article: Weak solutions to the complex \(m\)-Hessian equation on open subsets of \(\mathbb{C}^n\)
Recommended article: Weak solutions of hessian equations
Recommended article: Weak solutions of complex Hessian equations on compact Hermitian manifolds
Recommended article: Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds
Recommended article: Weak solutions of equations of complex Monge-Ampère type
Recommended article: Weak solutions to the complex Monge–Ampère equation
Recommended article: Continuous solutions to the complex \(m\)-Hessian type equation on strongly \(m\)-pseudoconvex domains in \(\mathbb{C}^n\)
description: scientific article