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A note on the regularity of the degenerate complex Monge-Ampère equation

Szymon Pliś — 2010

Annales Polonici Mathematici

We prove the almost $^{1, 1}$ regularity of the degenerate complex Monge-Ampère equation in a special case.

A counterexample to the regularity of the degenerate complex Monge-Ampère equation

Szymon Pliś — 2005

Annales Polonici Mathematici

We modify an example due to X.-J. Wang and obtain some counterexamples to the regularity of the degenerate complex Monge-Ampère equation on a ball in ℂⁿ and on the projective space ℙⁿ.

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