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math.AP2015
Sharp hessian integrability estimates for nonlinear elliptic equations: an asymptotic approach
Edgard Pimentel, Eduardo V. Teixeira
We establish sharp regularity estimates for viscosity solutions of fully nonlinear elliptic equations under minimal, asymptotic assumptions on the governing operator .…
math.AP2015
Regularity for second order stationary mean-field games
Edgard A. Pimentel, Vardan Voskanyan
In this paper, we prove the existence of classical solutions for second order stationary mean-field game systems. These arise in ergodic (mean-field) optimal control, convex degene…