论文标题
关于Korn-Maxwell-Sobolev的不平等现象
On Korn-Maxwell-Sobolev Inequalities
论文作者
论文摘要
我们建立了一个不平等的家庭，允许人们估算$ \ mathrm {l}^{q} $ - 由$ \ mathrm {l}^{q} $ narm the Matrix-valued字段的规范 - 椭圆形部分的规范 - 椭圆形部分和$ \ Mathrm {l}^p} $ curlix-ulix-ulix-norm cullix-norm ulix-norm ulix-norm ulix---这特别扩展了Neff等人的先前工作。而且，作为主要新颖性，适用于政权$ p = 1 $。
We establish a family of inequalities that allow one to estimate the $\mathrm{L}^{q}$-norm of a matrix-valued field by the $\mathrm{L}^{q}$-norm of an elliptic part and the $\mathrm{L}^{p}$-norm of the matrix-valued curl. This particularly extends previous work by Neff et al. and, as a main novelty, is applicable in the regime $p=1$.
