I want to solve the Laplace equation with drichlet boundary condition on 4 circles with radius $a$ in 2d plane. Circles are located at $x=r=0$, $x=y=A$, $x=A,y=0$ and $y=B, x=0$ and they do not overlap. I'm wondering if there is a way to do a conformal mapping for this system to make it easier to solve the Laplace equation. In the case of two circles, I know that it is possible to map the system to two concentric circles. Can somebody please help me?
2026-03-27 23:29:10.1774654150
Conformal mapping of region between 4 circles
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