4 papers
Weakly solutions to the complex Monge-Ampère equation on bounded plurifinely hyperconvex domains
Nguyen Xuan Hong, Hoang Van Can
Let be a non-negative measure defined on bounded -hyperconvex domain . We are interested in giving sufficient conditions on such that we can find a plurifine…
Approximation of plurifinely plurisubharmonic functions
Nguyen Van Trao, Hoang Viet, Nguyen Xuan Hong
In this paper, we study the approximation of negative plurifinely plurisubharmonic function defined on a plurifinely domain by an increasing sequence of plurisubharmonic functions…
Local property of maximal plurifinely plurisubharmonic functions
Nguyen Xuan Hong, Hoang Viet
In this paper, we prove that a continuous -plurisubharmonic functions defined in an -open set in is -maximal if and only if it is…
Convergence in capacity of plurisubharmonic functions with given boundary values
Nguyen Xuan Hong, Nguyen Van Trao, Tran Van Thuy
In this paper, we study the convergence in the capacity of sequence of plurisubharmonic functions. As an application, we prove stability results for solutions of the complex Monge-…