English

On the Evans-Krylov theorem

Analysis of PDEs 2010-09-09 v2

Abstract

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 C2,αC^{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.

Cite

@article{arxiv.0905.1336,
  title  = {On the Evans-Krylov theorem},
  author = {Luis Caffarelli and Luis Silvestre},
  journal= {arXiv preprint arXiv:0905.1336},
  year   = {2010}
}
R2 v1 2026-06-21T12:59:51.683Z