On the Evans-Krylov theorem

Luis A. Caffarelli, Luís Silvestre · Proceedings of the American Mathematical Society · 2010

We provide a short proof of the $C^{2,\alpha }$ interior estimate for convex fully nonlinear elliptic equations. This result was originally proved by L. C. Evans and N. Krylov. Our proof is based on the ideas from our work on integro-differential equations.

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