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- Jan 27th 2014, 08:29 AM #1

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- Feb 20th 2014, 05:52 PM #2

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## Re: PDE

Hi

In the case of your problem ($\Delta u=0$ and $\Omega$ bounded), the (weak) principle maximum says that the function $u$ reaches his maximum (resp. his minimum) on the boundary of the domain $\Omega$. So the maximum and the minimum of the solution $u$ of your problem is relatively simple to find.