| Abstract: |
| In this talk, we obtain the boundary pointwise $C^{1,\alpha}$ and $C^{2,\alpha}$ regularity for viscosity solutions of fully nonlinear elliptic equations. That is, if $\partial \Omega$ is $C^{1,\alpha}$ (or $C^{2,\alpha}$) at $x_0\in \partial \Omega$, the solution is $C^{1,\alpha}$ (or $C^{2,\alpha}$) at $x_0$. Our results are new even for the Laplace equation. Moreover, our proofs are simple. |
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