  We consider the electrostatic interaction between two rigid membranes, with
different surface charge densities of opposite sign, across an aqueous solution
without added salt. Exact solutions to the nonlinear Poisson-Boltzmann equation
are obtained and their physical meaning discussed. We also calculate the
electrostatic contribution to the free energy and discuss the renormalization
of the area per head group of the charged lipids arising from the Coulomb
interaction.
