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