## New preprint « Estimates on elliptic equations that hold only where the gradient is large »

A new preprint entitled Estimates on elliptic equations that hold only where the gradient is large written in collaboration with Luis Silvestre (Univ. Chicago) was uploaded to HAL and arXiv.

Abstract: We consider a function which is a viscosity solution of a uniformly elliptic equation only at those points where the gradient is large. We prove that the Hölder estimates and the Harnack inequality, as in the theory of Krylov and Safonov, apply to these functions..