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20232026
most citedMaximal subextension and approximation of subharmonic function

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

math.CV2026

Continuous solutions of Dirichlet problem to Hessian type equations for -subharmonic functions on a ball in

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 -subharmonic functions on a ball in…

math.AP2025

A note on the subsolution theorem in weighted energy classes of -subharmonic functions with given boundary values

Nguyen Van Phu

In this note, we deal with the existence of solutions of the weighted complex -Hessian equation in the class if there exists a subsolu…

math.CV2025

Hessian type equations for subharmonic functions on bounded domains in

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

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

math.AP2024

Complex -Hessian type equations in weighted energy classes of -subharmonic functions with given boundary value

Nguyen Van Phu, Nguyen Quang Dieu

In this paper, we concern with the existence of solutions of the complex Hessian type equation in the class if there exists subsoluti…

math.CV2023

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

Nguyen Van Phu

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

math.CV2023

A property of holomorphic functions related to plurisubharmonic functions

Nguyen Van Phu

Let be a negative plurisubharmonic function in a pseudoconvex domain in and be a bounded holomorphic function belonging to . 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 . This result is used to solve certain weighted complex Hessian equations.

math.CV2023

Weighted energy class of -subharmonic functions

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

In this paper, we introduce the class and solve complex -Hessian equations in the class . Afterthat, we study subextension in the cl…

math.CV2023★ 1 cited

Maximal subextension and approximation of subharmonic function

Nguyen Van Phu, Nguyen Quang Dieu

In this paper, we first study subextensions in the classes and . These results are then used to study approximation in the classes $\math…