Edgard Pimentel - Regularity Theory for Nonlinear PDEs

Edgard Pimentel - Regularity Theory for Nonlinear PDEs

Hausdorff Center for Mathematics via YouTube Direct link

Intro

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1 of 16

Intro

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Edgard Pimentel - Regularity Theory for Nonlinear PDEs

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  1. 1 Intro
  2. 2 General overview
  3. 3 Motivation applications
  4. 4 Motivation analytical developments
  5. 5 A few questions
  6. 6 A warm up result
  7. 7 A warm up proof
  8. 8 Strategy of the proof
  9. 9 Existence of small correctors
  10. 10 Oscillation control along the critical set
  11. 11 Non-variational setting
  12. 12 A detour on the case of constant exponents
  13. 13 Hölder regularity of the gradient
  14. 14 Preliminary levels of compactness
  15. 15 Approximation Lemma
  16. 16 Prool of the theorem - Induction argument

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