OAI/Analysis/CircleDomains/Rigidity/ConductivityCoefficient.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The actual two-valued conductivity coefficient. Its strict contraction constant is (n-1)/(n+1), and the constructed density vanishes off F.

  1. def OAI.CircleDomainRigidity.conductivityRatio line 12
  2. def OAI.CircleDomainRigidity.conductivityCoefficient line 17
  3. theorem OAI.CircleDomainRigidity.conductivityRatio_lt_one line 20
  4. theorem OAI.CircleDomainRigidity.conductivityCoefficient_memLp line 25
  5. theorem OAI.CircleDomainRigidity.conductivityCoefficient_bound line 29
  6. theorem OAI.CircleDomainRigidity.exists_compact_conductivity_density line 38