# Fully nonlinear elliptic PDE seminar

This a reading seminar. We will report the regularity theory for fully nonlinear elliptic partial differential equations based on the book by Caffarelli and Cabre.  Our main goal is to understand the relation between the proofs of Hanack inequality for divergence form equation and non-divergence form equation. Besides this, we will also learn the $C^{1,\alpha}$, $C^{2,\alpha}$ and $W^{2,p}$ estimates of fully nonlinear PDE.

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