most citedOn the existence of smooth solutions for fully nonlinear elliptic equations with measurable "coefficients" without convexity assumptions

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math.AP2012★ 2 cited

On the existence of smooth solutions for fully nonlinear elliptic equations with measurable "coefficients" without convexity assumptions

N. V. Krylov

We show that for any uniformly elliptic fully nonlinear second-order equation with bounded measurable "coefficients" and bounded "free" term one can find an approximating equation…