Existence of smooth solutions is shown for the complex Monge-Ampère Dirichlet problem on strongly pseudoconvex Kähler manifolds with decreasing right-hand side using flow arguments.
The eigenvalue problem for the complex M onge- A mp\`ere operator
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Some variational problems for the complex Monge--Amp{\`e}re operator
Existence of smooth solutions is shown for the complex Monge-Ampère Dirichlet problem on strongly pseudoconvex Kähler manifolds with decreasing right-hand side using flow arguments.