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Generalized Laplace Equation

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Hello everyone,
Does anyone have any idea how to set up a Generalized Laplace Equation to a model? I tried to solve it using the Poisson's equation ( ∇·(-c∇u)=f ), where i put f=0 and the dependent variable quantity u is Electric Potential (V). The problem is that the unit of constant c is [s^3 ·A/kg] and what i need is the constant c to be the electric conductivity.

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