Singular viscosity solutions to fully nonlinear elliptic equations

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Fundamental solutions of homogeneous fully nonlinear elliptic equations (2009, background): “1) is u ∈ C loc , for some constant γ > 0 which depends on the operator F (see [7, 29, 22]).”
Sharp hessian integrability estimates for nonlinear elliptic equations: an asymptotic approach (2015, background): “ates were available for any uniformly elliptic fully nonlinear equation challenged the community for over thirty years. The problem was settled in the negative by N. Nadirashvili and S. Vla˘du¸t, see [21, 22, 23]. We also mention here the examples from [7] of linear elliptic operators with piecewise”
Partial regularity of solutions of fully nonlinear, uniformly elliptic equations (2011, background): “In fact, a counterexample to C(1,1) regularity was presented in [9], and therefore the best available regularity for solutions of (1.”