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