Weak subsolutions to complex Monge–Ampère equations

Vincent Guedj; Chinh H. Lu; Ahmed Zeriahi

doi:10.2969/jmsj/79677967

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Weak subsolutions to complex Monge–Ampère equations

Vincent Guedj, Chinh H. Lu, Ahmed Zeriahi

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Keywords: complex Monge–Ampère equation, weak subsolutions, pluripotential theory

JOURNAL FREE ACCESS

2019 Volume 71 Issue 3 Pages 727-738

DOI https://doi.org/10.2969/jmsj/79677967

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Abstract

We compare various notions of weak subsolutions to degenerate complex Monge–Ampère equations, showing that they all coincide. This allows us to give an alternative proof of mixed Monge–Ampère inequalities due to Kołodziej and Dinew.

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