7 papers
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 bounde…
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 sub…
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…
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 i…
Degenerate complex Hessian equations with arbitrary measure in bounded domains
Nguyen Van Phu, Le Mau Hai
Let be a bounded strictly -pseudoconvex domain of . We solve degenerate complex Hessian equations of the form $(Ï+ dd^c Ï)^m\wedgeβ^{n-m} = μ$ in the gene…
Bounded solution to Hessian type equations for -subharmonic functions on a ball in
Hoang Thieu Anh, Le Mau Hai, Nguyen Quang Dieu +1
In this paper, we study Hessian type equations for -subharmonic functions on a ball in , where $β=dd^c\|z\|^2=\frac{i}{2}\sum\limits_{j=1}^n dz_j\w d\bar{…