Fate of the Born-Infeld solution in string theory
  We argue that the   Born-Infeld solution on the D$9-$brane is unstable under inclusion of derivative corrections to Born-Infeld theory coming from string theory. More specifically, we find no electrostatic solutions to the first order corrected Born-Infeld theory on the D$9-$brane which give a finite value for the Lagrangian. 
G. Karatheodoris, A. Pinzul and A. Stern