Finding Green's Function for Particular Case

Question

Determine the Green's Function for the particular case of the set $D=\{(x_1,x_2)\in R^2 : x_2 < -3\}$.

Answer 1

You can find an example of calculating Green's function for $ x_2 > 0 $ in the following handout from a university course. What you are asking is a simple modification of that case.