Interior pointwise $C^1$ and $C^{1,1}$ regularity of solutions for general semilinear elliptic equation in nondivergence form

Jingqi Liang

In this paper, we obtain $C^1$ and $C^{1,1}$ regularity of $L^n$-viscosity solutions for general semilinear elliptic equation in nondivergence form under some more weaker assum…