The Second Order Estimate for Fully Nonlinear Uniformly Elliptic Equations without Concavity Assumption
نویسندگان
چکیده
Investigating for interior regularity of viscosity solutions to the fully nonlinear elliptic equation F (x, u,▽u,▽u) = 0, we establish the interior C continuity under the assumptions that F is uniformly elliptic, Hölder continuous and satisfies the natural structure conditions of fractional order, but without the concavity assumption of F . These assumptions are weaker and the result is stronger than that of Caffarelli and Wang[1], Chen[2].
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