Dat Dinh Truong

collaborators

3 papers

math.CV2026

Relative Finite Energy Classes for Complex Hessian Equations with Prescribed Singularities

Truong Dinh Dat

Let $Ω \subset C^{n}$ be a bounded $m$ -hyperconvex domain and let $ψ \in S H_{m} (Ω)$ be a fixed negative $m$ -subharmonic function. In this paper we introduce a relative finite ene…

math.AP2026

Uniform $L^{\infty}$ estimates for complex hessian equations on compact Hermitian manifolds

Truong Dinh Dat

We develop a pluripotential approach to complex Hessian equations on compact Hermitian manifolds. In this setting, the lack of closedness of the background metric introduces torsio…

math.AP2026

Stability and strong convergence for complex Hessian equations with $L^{1}$ data

Truong Dinh Dat

We study complex $m$ -Hessian equations on bounded hyperconvex domains with right-hand side in $L^{1} (Ω)$ . The main contribution of this paper is a strong stability result for weak so…

Relative Finite Energy Classes for Complex Hessian Equations with Prescribed Singularities

Uniform L∞ estimates for complex hessian equations on compact Hermitian manifolds

Stability and strong convergence for complex Hessian equations with L1 data

Uniform $L^{\infty}$ estimates for complex hessian equations on compact Hermitian manifolds

Stability and strong convergence for complex Hessian equations with $L^{1}$ data