Addendum to "Variational principles for solving nonlinear Poisson equations for the potential of impurity ions in semiconductors with spatially variable dielectric constants"

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Abstract
In the above-named paper, a simplified form of the nonlinear Poisson equation for the impurity-ion potential has been solved approximately by making use of an equivalent variational principle. The difference between the exact and the simplified nonlinear Poisson equations is a term involving the derivative of the potential and the derivative of the spatially variable dielectric constant. The purpose of the present paper is the presentation of a more general variational principle, by which one might obtain an approximate solution of the exact nonlinear Poisson equation.