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Problem of the Week #296 - October 6, 2020

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MHB Global Moderator
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Jun 20, 2014
Here is this week's POTW:

Prove that every smooth harmonic function from $\Bbb R^2$ to $\Bbb R$ that is not surjective must be constant.


Remember to read the POTW submission guidelines to find out how to submit your answers!