Question: How can I use the hint in the proof? 3. If v is continuous together with its partial derivatives up to the second order, prove

How can I use the hint in the proof? 3. If v is continuous together with its partial derivatives up to

3. If v is continuous together with its partial derivatives up to the second order, prove that vis subharmonic if and only if Av 0. Hint: For the sufficiency, prove first that v + ex, & > 0, is subharmonic. For the necessity, show that if Av < 0 the mean value over a circle would be a decreasing function of the radius.

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