P. Nguyen

activity

20232026

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7 papers · 1 filter

math.CV2026

Continuous solutions of Dirichlet problem to Hessian type equations for $(ω, m) - β$ -subharmonic functions on a ball in $C^{n}$

Le Mau Hai, Nguyen Van Phu, Trinh Tung

In this paper, we investigate the continuity of solutions to the Dirichlet problem for complex Hessian-type equations associated with $(ω, m) - β$ -subharmonic functions on a ball in…

math.CV2025

Hessian type equations for $m - ω -$ subharmonic functions on bounded domains in $C^{n}$

Hoang Thieu Anh, Le Mau Hai, Nguyen Quang Dieu +1

In this paper, we study Hessian type equations for $m - ω$ subharmonic functions. Using the recent results in \cite{KN23a}, \cite{KN23b}, we are able to show the existence of bounded…

math.CV2023

Maximal subextension and stability on $m$ -capacity of maximal subextension of $m$ -subharmonic functions with given boundary values

Nguyen Van Phu

In this paper, we study maximal subextension of $m$ -subharmonic functions with given boundary values. We also prove stability on $m$ -capacity of maximal subextension of $m$ -subharm…

math.CV2023

A property of holomorphic functions related to plurisubharmonic functions

Nguyen Van Phu

Let $φ$ be a negative plurisubharmonic function in a pseudoconvex domain $Ω$ in $C^{n}$ and $f$ be a bounded holomorphic function belonging to $L^{2} (Ω, φ)$ . For all negat…

math.CV2023

Solutions to weighted complex m-Hessian Equations on domains in Cn

Nguyen Van Phu, Nguyen Quang Dieu

In this paper, we first study the comparison principle for the operator $H_{χ, m}$ . This result is used to solve certain weighted complex $m -$ Hessian equations.

math.CV2023

Weighted energy class of $m$ -subharmonic functions

H. T. Anh, N. V. Phu, N. Q. Dieu

In this paper, we introduce the class $E_{m, F} (Ω)$ and solve complex $m$ -Hessian equations in the class $E_{m, F} (Ω)$ . Afterthat, we study subextension in the cl…

Continuous solutions of Dirichlet problem to Hessian type equations for (ω,m)−β-subharmonic functions on a ball in Cn

Hessian type equations for m−ω−subharmonic functions on bounded domains in Cn

Maximal subextension and stability on m-capacity of maximal subextension of m-subharmonic functions with given boundary values

A property of holomorphic functions related to plurisubharmonic functions

Solutions to weighted complex m-Hessian Equations on domains in Cn

Weighted energy class of m-subharmonic functions

Continuous solutions of Dirichlet problem to Hessian type equations for $(ω, m) - β$ -subharmonic functions on a ball in $C^{n}$

Hessian type equations for $m - ω -$ subharmonic functions on bounded domains in $C^{n}$

Maximal subextension and stability on $m$ -capacity of maximal subextension of $m$ -subharmonic functions with given boundary values

Weighted energy class of $m$ -subharmonic functions