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.
On the hessian hardy-sobolev inequality and related variational problems, 2025
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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.