A Replacing a non-harmonic function with a harmonic function

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replacing a non-harmonic function with a harmonic function
I am solving a problem of the boundary condition of Dirichlet type, in order to solve the problem, the functions within the differential equations suppose to be harmonic.

I have a function f(x,y,z) (the function attached) which is not harmonic. I must find an equivalent function g(x,y,z) which shall its Laplacian to be zero and at the boundary which is x=0 to be equal to f(x,y,z) "i.e f(0,y,z)=g(0,y,z)"



I have been trying with Mathematica for almost a week but just by trail, which is not a clever way. I am wondering if there is a way to do it.

thanks
 

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