On the Evans-Krylov theorem

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 $C^{2,\alpha }$ 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.

References in corpus (1)

• The Evans-Krylov theorem for non local fully non linear equations

Cited by in corpus (1)

• Regularity theory for Second order Integro-PDEs