Add to ORKGWe solve the Dirichlet Problem of Monge-Amp\`ere equation near an isolate Klt singularity, which generalizes the result of Eyssidieux-Guedj-Zeriahi \cite{EGZ}, where the Monge-Amp\`ere equation is solved on singular varieties without boundary. As a corollary, we construct solutions to Monge-Amp\`ere equation with isolated singularity on strongly pseudoconvex domain $\Omega$ contained in $\mathbb{C}^n$.Comment: Minor change from V
The regularity theory of the degenerate complex Monge-Ampère equation is studied. First, the equatio...
We prove a local volume noncollapsing estimate for K\"ahler metrics induced from a family of complex...
In this paper we generalize Ko lodziej's subsolution theorem to bounded and unbounded pseudoconvex d...
AbstractWe study the Dirichlet problem for complex Monge–Ampère equations in Hermitian manifolds wit...
We study degenerate complex Monge-Ampère equations of the form $(\omega+dd^c\f)^n = e^{t \f}\mu$ whe...
Let $(X,\omega)$ be a compact K\"ahler manifold. We prove the existence and uniqueness of solutions ...
In this paper, we study existence, regularity, classification, and asymptotic behaviors of solutions...
In this paper, we study existence, regularity, classification, and asymptotic behaviors of solutions...
Let $\Omega\subseteq M$ be a bounded domain with a smooth boundary $\partial\Omega$, where $(M,J,g)$...
Canonical Kahler metrics, such as Ricci-flat or Käahler-Einstein, are obtained via solving the compl...
On a compact K\"ahler manifold $(X,\omega)$, we study the strong continuity of solutions with prescr...
Let $(X,\omega)$ be a compact K\"ahler manifold of dimension $n$ and fix an integer $m$ such that $1...
By constructing appropriate smooth, possibly non-convex supersolutions, we establish sharp lower bou...
We study weak quasi-plurisubharmonic solutions to the Dirichlet problem for the complex Monge-Am\`er...
In this thesis, we study three problems related to Complex Monge-Amp`ere equations. After the introd...
The regularity theory of the degenerate complex Monge-Ampère equation is studied. First, the equatio...
We prove a local volume noncollapsing estimate for K\"ahler metrics induced from a family of complex...
In this paper we generalize Ko lodziej's subsolution theorem to bounded and unbounded pseudoconvex d...
AbstractWe study the Dirichlet problem for complex Monge–Ampère equations in Hermitian manifolds wit...
We study degenerate complex Monge-Ampère equations of the form $(\omega+dd^c\f)^n = e^{t \f}\mu$ whe...
Let $(X,\omega)$ be a compact K\"ahler manifold. We prove the existence and uniqueness of solutions ...
In this paper, we study existence, regularity, classification, and asymptotic behaviors of solutions...
In this paper, we study existence, regularity, classification, and asymptotic behaviors of solutions...
Let $\Omega\subseteq M$ be a bounded domain with a smooth boundary $\partial\Omega$, where $(M,J,g)$...
Canonical Kahler metrics, such as Ricci-flat or Käahler-Einstein, are obtained via solving the compl...
On a compact K\"ahler manifold $(X,\omega)$, we study the strong continuity of solutions with prescr...
Let $(X,\omega)$ be a compact K\"ahler manifold of dimension $n$ and fix an integer $m$ such that $1...
By constructing appropriate smooth, possibly non-convex supersolutions, we establish sharp lower bou...
We study weak quasi-plurisubharmonic solutions to the Dirichlet problem for the complex Monge-Am\`er...
In this thesis, we study three problems related to Complex Monge-Amp`ere equations. After the introd...
The regularity theory of the degenerate complex Monge-Ampère equation is studied. First, the equatio...
We prove a local volume noncollapsing estimate for K\"ahler metrics induced from a family of complex...
In this paper we generalize Ko lodziej's subsolution theorem to bounded and unbounded pseudoconvex d...