OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/PlanarSobolevDuality.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

Ground-state duality on the full closed planar Sobolev graph.

  1. def OAI.ContinuumCoulomb.PlanarSobolev.groundDualWeight line 17
  2. theorem OAI.ContinuumCoulomb.PlanarSobolev.groundDualWeight_continuous line 20
  3. theorem OAI.ContinuumCoulomb.PlanarSobolev.groundDualWeight_compact line 25
  4. theorem OAI.ContinuumCoulomb.PlanarSobolev.groundDualWeight_memLp line 31
  5. def OAI.ContinuumCoulomb.PlanarSobolev.groundDualLp line 34
  6. theorem OAI.ContinuumCoulomb.PlanarSobolev.groundDualLp_inner line 37
  7. theorem OAI.ContinuumCoulomb.PlanarSobolev.graph_groundDualLp_inner line 49
  8. theorem OAI.ContinuumCoulomb.PlanarSobolev.graph_ground_dual_bound line 60
  9. theorem OAI.ContinuumCoulomb.PlanarSobolev.sobolev_ground_dual_bound line 75
  10. theorem OAI.ContinuumCoulomb.PlanarSobolev.zero_ground_form_axis_distribution line 90