A counterexample to the regularity of the degenerate complex Monge–Ampère equation
Volume 86 / 2005
Annales Polonici Mathematici 86 (2005), 171-175
MSC: 32W20, 35J70.
DOI: 10.4064/ap86-2-7
Abstract
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 $\mathbb{C}^n$ and on the projective space $\mathbb{P}^n$.