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arXiv · 1303.2403

A Liouville Theorem for the Complex Monge-Amp\`ere Equation

Yu Wang
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Abstract

In this note, we derive a Liouville theorem for the complex Monge-Amp\`ere equation. Our result states that if the global solution $u$ of the complex Monge-Amp\`ere equation with constant right-hand side differs from a quadratic polynomial solution by $o(\abs{x}^2)$ at infinity, then $u$ is a quadratic polynomial.

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Yu Wang. 2013-03-11. A Liouville Theorem for the Complex Monge-Amp\`ere Equation. https://arxiv.org/abs/1303.2403

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