OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/PlanarCompactnessEstimates.lean

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Compactness estimates for the actual manufactured planar well. They reduce the positive gap to uniqueness of its attained ground vector.

  1. theorem OAI.ContinuumCoulomb.PlanarSobolev.shiftedForm_parallelogram line 16
  2. theorem OAI.ContinuumCoulomb.PlanarSobolev.shiftedForm_sub_le line 25
  3. theorem OAI.ContinuumCoulomb.PlanarSobolev.shiftedForm_controls_norm line 33
  4. theorem OAI.ContinuumCoulomb.PlanarSobolev.nearGround_norm_bound line 45
  5. theorem OAI.ContinuumCoulomb.PlanarSobolev.nearGround_distance_bound line 57