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math.CV2008
Uniqueness and Stability in
Sławomir Dinew
We prove uniqueness for the Dirichlet problem for the complex Monge-Ampère equation on compact Kähler manifolds in the case of measures vanishing on pluripolar sets. As a by-produc…
math.CV2007★ 13 cited
Stability of Bounded Solutions for Degenerate Complex Monge-Ampère equations
Sławomir Dinew, Zhou Zhang
We generalize and strenghten Kołodziej's stability theorem. In particular we give sharp stability exponent and treat the case with more singular right hand side of the Monge-Ampère…
math.CV2007★ 5 cited
An Inequality for Mixed Monge-Ampère measures
Slawomir Dinew
We generalize an inequality for mixed Monge-Ampère measures. We also give an example that shows that our assumptions are sharp. The corresponding result in the setting of compact K…