Sharp Stability of Higher Order Dirichlet Eigenvalues

Sharp Stability of Higher Order Dirichlet Eigenvalues

Centre de recherches mathématiques - CRM via YouTube Direct link

Sharp bound for degenerate eigenvalues

4 of 17

4 of 17

Sharp bound for degenerate eigenvalues

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Sharp Stability of Higher Order Dirichlet Eigenvalues

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  1. 1 Intro
  2. 2 Notations
  3. 3 Initial question
  4. 4 Sharp bound for degenerate eigenvalues
  5. 5 Sharp bound for a group of eigenvalues
  6. 6 Ingredients
  7. 7 An equivalent formulation
  8. 8 Plan of proof
  9. 9 Existence of a minimizer among capacitary measure
  10. 10 Existence of a minimizer among quasi-open sets
  11. 11 Vectorial Alt-Caffarelli problem
  12. 12 Flat solution
  13. 13 Partial Harnack inequality
  14. 14 Application: reverse Kohler-Jobin
  15. 15 More general symmetric functions
  16. 16 What about more general functions?
  17. 17 Open question

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