论文标题
用连续的拉普拉斯和有界的黑森构建两次可微分功能
Construction of Twice Differentiable Functions with Continuous Laplacian and Bounded Hessian
论文作者
论文摘要
我们在$ \ mathbb {r}^n $中构建了两次可区分函数的示例，并使用连续的laplacian和有界的Hessian构建。相同的构造也适用于高阶的可不同性，Monge-ampère方程和Hypersurfaces的平均曲率方程。
We construct examples of twice differentiable functions in $\mathbb{R}^n$ with continuous Laplacian and bounded Hessian. The same construction is also applicable to higher order differentiability, the Monge-Ampère equation, and mean curvature equation for hypersurfaces.
