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

Volume 86 / 2005

Szymon Pliś 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 $\mathbb{P}^n$.

Authors

  • Szymon PliśInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Kraków, Poland
    e-mail

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