Nguyen Van Phu

collaborators

4 papers

math.CV2026

Continuity of the complex Monge-Ampère operator on compact Hermitian manifolds

Le Mau Hai, Nguyen Van Phu, Trinh Tung

In this note, we establish several results concerning the continuity (or weak convergence) of the complex Monge-Ampère operator on compact Hermitian manifolds. At the end of this n…

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.CV2026

Convergence in $(ω, m)$ -capacity in the class $E (X, ω, m)$ on compact Kähler manifolds

Le Mau Hai, Nguyen Van Phu

In this paper, we establish the weak*-convergence of a sequence of the complex Hessian measures $H_{m} (u_{j})$ to the complex Hessian measure $H_{m} (u)$ in the class $E (X, ω, m)$ …

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…

Continuity of the complex Monge-Ampère operator on compact Hermitian manifolds

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

Convergence in (ω,m)-capacity in the class E(X,ω,m) on compact Kähler manifolds

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 $C^{n}$

Convergence in $(ω, m)$ -capacity in the class $E (X, ω, m)$ on compact Kähler manifolds

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