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articleNo Access
The Monge–Ampère type equation in the weighted pluricomplex energy class
- Le Mau Hai,
- Pham Hoang Hiep,
- Nguyen Xuan Hong, and
- Nguyen Van Phu
International Journal of Mathematics01 May 2014
Preview Abstract
In the paper, we prove the existence of solutions of the complex Monge–Ampère type equation -χ(u)(dd^cu)ⁿ = μ in the class if there exist subsolutions in this class. As an application, we prove that the complex Monge–Ampère equation (dd^cu)ⁿ = μ is solvable in the class if there exist subsolutions locally. Moreover, by an example we show that the conditions in our above result are sharp.

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