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**1. Homework Statement**

http://www.geocities.com/asdfasdf23135/advcal26.JPG

__Note:__

path-connected means arcwise-connected

C^0 means continuous

⊿f=Laplacian=(f)xx+(f)yy

df/dn = grad f ． n

**2. Relevant material**

Green's theorem, line integrals, ...

**3. The Attempt at a Solution**

The only part I can finish is part (ii):

(ii) follows from the vector version of Green's theorem

How can I do parts (i) and (iii)?

And provided that I have proved (i), (ii), and (iii), how would these results aid me in proving the actual problem?

Any help or hints would be greatly appreciated!https://www.physicsforums.com/images/smilies/smile.gif [Broken]

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