Functional Inequalities and Improvements: Stability - Part 2

Functional Inequalities and Improvements: Stability - Part 2

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Magnetic problems

10 of 15

10 of 15

Magnetic problems

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Functional Inequalities and Improvements: Stability - Part 2

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  1. 1 Intro
  2. 2 Outline for today
  3. 3 Caffarelli-Kohn-Nirenberg (CKN) inequalities (1984)
  4. 4 Symmetry (3)
  5. 5 Linear instability of radial minimizers: the Felli-Schneider curve
  6. 6 Solution of the conjecture : A Sobolev type inequality
  7. 7 The flow
  8. 8 Elliptic proof
  9. 9 Corollary: consequences for non-compact manifolds
  10. 10 Magnetic problems
  11. 11 Inequalities involving vector valued functions; systems
  12. 12 go beyond all this and get stability properties for the inequalities
  13. 13 Towards an improved inequality
  14. 14 Stability for critical inequalities
  15. 15 Open problems and new directions

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