Weak solutions to the complex \(m\)-Hessian type equations for arbitrary nonnegative Radon measures on open subsets of \(\mathbb{C}^n\)
type: Item
instance of: scholarly article
title: Weak solutions to the complex \(m\)-Hessian type equations for arbitrary nonnegative Radon measures on open subsets of \(\mathbb{C}^n\)
zbMATH Open document ID: 1505.32050
author: Hai Mau Le
author: Vu Van Quan
published in: Analysis and Mathematical Physics
publication date: 2022-11-28T00:00:00Z
Mathematics Subject Classification ID: 32U05
Mathematics Subject Classification ID: 32U15
Mathematics Subject Classification ID: 32U40
zbMATH DE Number: 7624346
zbMATH Keywords: complex \(m\)-Hessian-type equation
zbMATH Keywords: \(m\)-subharmonic functions
zbMATH Keywords: measures carried by \(m\)-polar sets
MaRDI profile type: Publication
full work available at URL: s13324-022-00755-w
OpenAlex ID: W4307959903
cites work: Monge-Ampère measures on pluripolar sets
cites work: Weak solutions to the complex Hessian type equations for arbitrary measures
cites work: The Dirichlet problem for a complex Monge-Ampère equation
cites work: Q4201165
cites work: Plurisubharmonic functions with weak singularities
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 domain of definition of the complex Monge-Ampere operator
cites work: On the Dirichlet problem for the complex Monge-Ampère operator
cites work: The general definition of the complex Monge-Ampère operator.
cites work: A general Dirichlet problem for the complex Monge–Ampère operator
cites work: The equation of complex Monge-Ampère type and stability of solutions
cites work: Modulus of continuity of solutions to complex Hessian equations
cites work: A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
cites work: Subsolution theorem for the complex Hessian equation
cites work: The complex Monge–Ampère operator
cites work: On a Monge–Ampère type equation in the Cegrell class Eχ
cites work: A priori estimates for complex Hessian equations
cites work: The Dirichlet problem for the complex Hessian operator in the class $\mathcal{N}_m(\Omega,f)$
cites work: The complex Monge-Ampère operator on bounded domains in \(\mathbb C^n\)
cites work: Some weighted energy classes of plurisubharmonic functions
cites work: The complex Monge–Ampère equation in unbounded hyperconvex domains in ℂn
cites work: The Monge-Ampère type equation in the weighted pluricomplex energy class
cites work: Equations of complex Monge-Ampère type for arbitrary measures and applications
cites work: Weak solutions to the complex \(m\)-Hessian equation on open subsets of \(\mathbb{C}^n\)
cites work: Weak solutions to the complex \(m\)-Hessian type equation on open subsets of \(\mathbb{C}^n\)
cites work: Hessian measures on m-polar sets and applications to the complex Hessian equations
cites work: A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
cites work: Q4002495
cites work: Weak solutions of equations of complex Monge-Ampère type
cites work: On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
cites work: Weak solutions to the complex Monge-Ampère equation on open subsets of \(\mathbb{C}^n\)
cites work: Potential theory in the class of \(m\)-subharmonic functions
cites work: Maximal \(m\)-subharmonic functions and the Cegrell class \(\mathcal{N}_m\)
DOI: 10.1007/S13324-022-00755-W
description: scientific article; zbMATH DE number 7624346