Finding Green's function for $\Omega$

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I'm studying differential equations and I am asked to find Green's function for $\Omega$ = {$(x,y)$ $\in \mathbb{R^2}$: $x^2+y^2 < r^2, y>0$ }. I've looked around places such as here but am having a hard time figuring out where to start. Any help is appreciated!