Comment on the Herzlich's proof of the Penrose inequality
  Recently Herzlich proved a Penrose-like inequality with a coefficient being a kind of a Sobolev constant. We show that this constant tends to zero for charged black holes approaching maximal Reissner-Nordstroem solutions. The method proposed by Herzlich is not appropriate for charged matter with nonzero global charge. 
K. Roszkowski and E. Malec