OAI/Analysis/CircleDomains/Rigidity/NonnegativeZeroTraceExtension.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

A continuous, compactly supported, nonnegative Sobolev function with zero trace extends through the excluded set with zero weak gradient there. Smooth value truncations give the extension without a geometric assumption on that closed set.

  1. theorem OAI.CircleDomainRigidity.zero_trace_global_weak line 15
  2. def OAI.CircleDomainRigidity.nonnegativeZeroTraceWitness line 77
  3. theorem OAI.CircleDomainRigidity.nonnegativeZeroTraceWitness_zero line 91