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Bibliographic Details
Main Authors:	Hai, Le Mau, Van Phu, Nguyen
Format:	Preprint
Published:	2026
Subjects:	Complex Variables 32U05, 32Q15, 32W20
Online Access:	https://arxiv.org/abs/2603.26392
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Degenerate complex Hessian equations with arbitrary measure in bounded domains
by: Van Phu, Nguyen, et al.
Published: (2025)

Hessian type equations for $m-ω-$subharmonic functions on bounded domains in $\mathbb C^n$
by: Anh, Hoang Thieu, et al.
Published: (2025)

Bounded solution to Hessian type equations for $(ø,m)-β$-subharmonic functions on a ball in $\mathbb C^n$
by: Anh, Hoang Thieu, et al.
Published: (2025)

Maximal subextension and stability on $m$-capacity of maximal subextension of $m$-subharmonic functions with given boundary values
by: Van Phu, Nguyen
Published: (2023)

Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values
by: Van Phu, Nguyen
Published: (2025)

The Range of the Monge-Ampère operator $(ω+ dd^c .)^n$ in bounded domains
by: Alehyane, Omar, et al.
Published: (2025)

A property of holomorphic functions related to plurisubharmonic functions
by: Van Phu, Nguyen
Published: (2023)

Continuous solutions of Dirichlet problem to Hessian type equations for $(ω,m)-β$-subharmonic functions on a ball in $\mathbb{C}^n$
by: Hai, Le Mau, et al.
Published: (2026)

Maximal subextension and approximation of $m-$subharmonic function
by: Van Phu, Nguyen, et al.
Published: (2023)

Subsolution theorem in weighted energy classes of $m$-subharmonic functions with given boundary value
by: Van Phu, Nguyen
Published: (2025)

Complex $m$-Hessian type equations in weighted energy classes of $m$-subharmonic functions with given boundary value
by: Van Phu, Nguyen, et al.
Published: (2024)

Monge-Ampère equations with prescribed singularities on compact Hermitian manifolds
by: Alehyane, Omar, et al.
Published: (2025)

Degenerate complex Monge-Ampère equations on some compact Hermitian manifolds
by: Salouf, Mohammed
Published: (2024)

Weighted energy class of $m$-subharmonic functions
by: Anh, H. T., et al.
Published: (2023)

Singularities vs non-pluripolar Monge--Ampère masses
by: Dang, Quang-Tuan, et al.
Published: (2025)

Monge-Ampere type equations on compact Hermitian manifolds with bounded mass property
by: Li, Xuan
Published: (2026)

Continuity of solutions to complex Hessian equations on compact Hermitian manifolds
by: Fang, Yuetong
Published: (2025)

An iterative construction of complete Kähler--Einstein metrics
by: Dang, Quang-Tuan, et al.
Published: (2024)

Convexity of the Mabuchi functional in big cohomology classes
by: Di Nezza, Eleonora, et al.
Published: (2024)

On the Ohsawa-Takegoshi $L^2$ extension theorem and removable singularities of plurisubharmonic functions
by: Wang, Xieping
Published: (2023)

On Lelong numbers of plurisubharmonic functions on complex spaces
by: Hai, Le Mau, et al.
Published: (2025)

Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Fundamental results
by: Magnússon, Benedikt Steinar, et al.
Published: (2023)

Kähler--Einstein metrics on quasi-projective manifolds
by: Dang, Quang-Tuan, et al.
Published: (2023)

Polynomials with exponents in compact convex sets and associated weighted extremal functions -- The Siciak-Zakharyuta theorem
by: Magnússon, Benedikt Steinar, et al.
Published: (2023)

Polynomials with exponents in compact convex sets and associated weighted extremal functions -- The Bernstein-Walsh-Siciak theorem
by: Magnússon, Benedikt Steinar, et al.
Published: (2023)

Two variational problems in Kähler geometry
by: Lempert, Laszlo
Published: (2024)

Skoda's $L^2$ division theorem for $L^2$-optimal pairs
by: Liu, Zhuo, et al.
Published: (2024)

$ω$-trace and Griffiths positivity for singular Hermitian metrics
by: Watanabe, Yuta
Published: (2024)

Quasi-projective manifolds uniformized by Carathéodory hyperbolic manifolds and hyperbolicity of their subvarieties
by: Wong, Kwok-Kin, et al.
Published: (2025)

On the envelope of Poisson functional on almost complex manifolds
by: Bertrand, Florian, et al.
Published: (2023)

Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain V--fibrations over open Riemann surfaces
by: Bao, Shijie, et al.
Published: (2022)

Comparison principles for Monge-Ampère measures on pluripolar sets
by: Do, Thai Duong, et al.
Published: (2026)

Asymptotics of small eigenvalues on degenerations of Kähler manifolds
by: Cao, Junyu
Published: (2026)

A Dirichlet type problem for non-pluripolar complex Monge-Ampère equations
by: Do, Thai Duong, et al.
Published: (2024)

Generalization of Finite Entropy Measures in Kähler Geometry
by: Åhag, P., et al.
Published: (2024)

Non-collapsing volume estimate for local Kähler metrics in big cohomology classes
by: Do, Thai Duong, et al.
Published: (2025)

A note on $ξ-$Bergman kernels
by: Bao, Shijie, et al.
Published: (2022)

On Classification of compact complex surfaces of class VII
by: Dloussky, Georges
Published: (2024)

On compact sets possessing $q$-convex functions
by: Pawlaschyk, Thomas, et al.
Published: (2025)

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