Gradient estimates for the perfect conductivity problem

Ellen Shiting Bao, Yan Yan Li, Biao Yin

Research output: Contribution to journalArticlepeer-review

71 Scopus citations


We establish both upper and lower bounds of the gradient estimates for the perfect conductivity problem in the case where perfect (stiff) conductors are closely spaced inside an open bounded domain and away from the boundary. These results give the optimal blow-up rates of the stress for conductors with arbitrary shape and in all dimensions.

Original languageEnglish (US)
Pages (from-to)195-226
Number of pages32
JournalArchive For Rational Mechanics And Analysis
Issue number1
StatePublished - Jul 2009

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering


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