Resumen de Asymptotics and regularity of flat solutions to fully nonlinear elliptic problems

Disson dos Prazeres, Eduardo V. Teixeira

• In this work we establish local C 2,α regularity estimates for flat so- lutions to non-convex fully nonlinear elliptic equations provided the coefficients and the source function are of class C 0,α . For problems with merely continuous data, we prove that flat solutions are locally C 1,Log-Lip .