04 2021 档案

摘要:If $\Delta u=0$ in $\Omega\subset\mathbb{R}^n (n\geq2)$, then for $p>\frac{n-2}{n-1}$, $|Du|^p$ is subharmonic.Proof: For $|Du|(x_0)\neq 0$, we have \ 阅读全文
posted @ 2021-04-25 23:45 Minimal_Cone 阅读(322) 评论(0) 推荐(0)
摘要:Here, we only consider the codimension one case. Let $F: M\rightarrow R^{n+1}$. Now we calculate the normal variation of the volume 。 Let$\phi\in C^\i 阅读全文
posted @ 2021-04-11 15:26 Minimal_Cone 阅读(384) 评论(0) 推荐(0)
摘要:In the following, we will give some explanation of the calculation of Riemannian geometry and geometry measure theory. As for our interest, we only co 阅读全文
posted @ 2021-04-09 16:36 Minimal_Cone 阅读(205) 评论(0) 推荐(0)
摘要:It is customary to call the function function defined on $U$ by $\nabla_{\frac{\partial}{\partial x_i}}\frac{\partial}{\partial x_j}=\sum\limits_k\Gam 阅读全文
posted @ 2021-04-01 17:14 Minimal_Cone 阅读(199) 评论(0) 推荐(0)