OAI/Geometry/RCD/Sobolev/DirichletSobolevConstruction.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

The local Dirichlet Sobolev input from RCD transport and volume bounds

  1. theorem OAI.RegularPointCoordinates.scaled_power_bound line 14
  2. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.localDirichletSobolevInput line 41

    Source documentation

    The superquadratic zero-boundary estimate required by the Poisson construction is a consequence of actual RCD transport and finite covers.

    theorem NoncollapsedRCD.localDirichletSobolevInput {K : ℝ} {n : ℕ}
    (hX : NoncollapsedRCD K n X) : LocalDirichletSobolevInput hX := by
…

    Mentions: OAI.RegularPointCoordinates.NoncollapsedRCD, OAI.RegularPointCoordinates.LocalDirichletSobolevInput