논문KCI 등재
Note on the complex Monge-Amp\`ere type equation $(dd^cu)^n = \exp\left(\frac{-1}{u}\right)\Psi dV$ on a class of pseudoconvex domains of infinite type
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초록
The aim of this paper is to prove the existence, uniqueness and regularity of the solution to the Dirichlet problem \[\begin{cases}u \in \PSH(\Omega)\cap L^\infty(\overline{\Omega}),\\(dd^cu)^n = \exp\left(\frac{-1}{u}\right)\Psi dV,\\ u = \varphi \text{ on } b\Omega,\end{cases}\] on a certain class of infinite type domains $\Omega\ssubset\mathbb{C}^n.$
Abstract
The aim of this paper is to prove the existence, uniqueness and regularity of the solution to the Dirichlet problem \[\begin{cases}u \in \PSH(\Omega)\cap L^\infty(\overline{\Omega}),\\(dd^cu)^n = \exp\left(\frac{-1}{u}\right)\Psi dV,\\ u = \varphi \text{ on } b\Omega,\end{cases}\] on a certain class of infinite type domains $\Omega\ssubset\mathbb{C}^n.$
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