P. Nguyen

activity

20242026

collaborators

4 papers

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.AP2025

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

Nguyen Van Phu

In this note, we deal with the existence of solutions of the weighted complex $m$ -Hessian equation $- χ (u) H_{m} (u) = μ$ in the class $E_{m, χ} (f, Ω)$ if there exists a subsolu…

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.AP2024

Complex $m$ -Hessian type equations in weighted energy classes of $m$ -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 $m -$ Hessian type equation $- χ (u) H_{m} (u) = μ$ in the class $E_{m, χ} (f, Ω)$ if there exists subsoluti…

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

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

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

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

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

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

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

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