# Harmonic Functions : Green's Identity and Mean Value Theorem for Harmonic Functions

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Let h 2 C2(R3) be harmonic (h = 0). Using Green's identity for

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is independent of the value of R. Then one can deduce the mean value theorem

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Now what can you say if limx!1 h(x) = 0?

https://brainmass.com/math/graphs-and-functions/greens-identity-mean-value-theorem-harmonic-functions-19050

#### Solution Summary

Green's identity is used to find mean value theorem for an harmonic function. The solution is detailed and well presented.

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