Harmonic polynomial coordinate transformation

This should be a very simple project. The problem is a boundary value problem for electrostatic Gauss law. No programming is needed, the project is very simple if you have a solid background in electrostatic...Read carefully before bidding...this is a micro-project. Fake unqualified bidders or sub-contractors are not welcome (as described per the attachment) Project tasks: 1) Verify the differential equation solution i.e. equation 3 in attachment for Laplace electrostatic (can be found in standard electrostatic books) 2) Coordinate transformation of equation 3 in the attachment (Harmonic polynomial transformation). I have started few steps in the coordinate transformation using polar vectors. 3) If an electrode is connected to the middle layer i.e. the electric potential is symmetric (the same value) how to deal with this