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Suppose $u$ is a bounded maximal plurisubharmonic function in a bounded domain $D \in \Bbb C^n$. If $u$ is $C^2$ one can see that $u$ cannot have a local strict minimum inside $D$. Is there an analog of this result, when $u$ is not $C^2$-smooth? Any counterexamples?

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I think I got this one. –  The Common Crane Jan 19 '12 at 0:56
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