On the Evans-Krylov theorem

Details On the Evans-Krylov theorem On the Evans-Krylov theorem

2009-05-08

arxiv.org/abs/0905.1336v2

Mathematics

Analysis of PDEs

Scientific paper

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

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