Two-dimensional Born-Infeld electrostatic fields behaving as the
superposition of two point-like charges in the linearized (Maxwellian) limit
are worked out by means of a non-holomorphic mapping of the complex plane. The
changes underwent by the Coulombian interaction between two charges in
Born-Infeld theory are computed. Remarkably, the force between equal charges
goes to zero as they approach each other.Comment: 7 pages, 6 figures. Enlarged and corrected versio