[Lecture Notes] Nonlinear Elliptic Equations

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Lecture notes from Yu Yuan’s Homepage on Nonlinear Elliptic Equations.

  1. Introduction
  2. Harmonic functions
  3. Schauder Calderon-Zygmund
  4. De Giorgi-Nash
  5. Moser
  6. Quick applications of Harnack
  7. Minimal surface equation
  8. Alexandrov
  9. Krylov-Safonov
  10. Evans-Krylov-(Safonov)
  11. Special Lagrangian equations (including Monge-Ampere equations)
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