N. V. Phu

activity

20242026

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8 papers · 1 filter

math.CV2026

Hessian type equations for $m - I ¨ -$ 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 - I ¨ $ subharmonic functions. Using the recent results in \cite{KN23a}, \cite{KN23b}, we are able to show the existence of bounde…

math.CV2026

Continuity of the complex Monge-AmpÃ¨re 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-AmpÃ¨re operator on compact Hermitian manifolds. At the end of this…

math.CV2026

Continuous solutions of Dirichlet problem to Hessian type equations for $(I ¨ , m) - I^^{2}$ -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 $(I ¨ , m) - I^^{2}$ -subharmonic functions on a ball i…

math.CV2025

Degenerate complex Hessian equations with arbitrary measure in bounded domains

Nguyen Van Phu, Le Mau Hai

Let $I^c ◯$ be a bounded strictly $m$ -pseudoconvex domain of $C^{n}$ . We solve degenerate complex Hessian equations of the form $(Ï+ dd^c Ï)^m\wedgeÎ²^{n-m} = Î¼$ in the gene…

math.CV2025

Bounded solution to Hessian type equations for $(A ~ ¸, m) - I^^{2}$ -subharmonic functions on a ball in $C^{n}$

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

In this paper, we study Hessian type equations for $(A ~ ¸, m) - I^^{2}$ -subharmonic functions on a ball in $C^{n}$ , where $Î²=dd^c\|z\|^2=\frac{i}{2}\sum\limits_{j=1}^n dz_j\w d\bar{…

math.CV2024

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…

Hessian type equations for m−I¨−subharmonic functions on bounded domains in Cn

Continuity of the complex Monge-AmpÃ¨re operator on compact Hermitian manifolds

Continuous solutions of Dirichlet problem to Hessian type equations for (I¨,m)−I^2-subharmonic functions on a ball in Cn

Degenerate complex Hessian equations with arbitrary measure in bounded domains

Bounded solution to Hessian type equations for (A~¸,m)−I^2-subharmonic functions on a ball in Cn

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

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

Continuous solutions of Dirichlet problem to Hessian type equations for $(I ¨ , m) - I^^{2}$ -subharmonic functions on a ball in $C^{n}$

Bounded solution to Hessian type equations for $(A ~ ¸, m) - I^^{2}$ -subharmonic functions on a ball in $C^{n}$

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