# On the Evans-Krylov theorem - Mathematics > Analysis of PDEs

Abstract: In this note, motivated by our work on integral fully nonlinear equations, weprovide a variation of the proof of Evans-Krylov theorem about the interior$C^{2,\alpha}$ a priori estimate for concave fully nonlinear ellipticequations. The proof we present is shorter compared to the original proofs,although the key tools used in the argument are the same.

Author: Luis Caffarelli, Luis Silvestre

Source: https://arxiv.org/