Optimal exponentials of thickness in Korn’s inequalities for parabolic and elliptic shells
Optimal exponentials of thickness in Korn’s inequalities for parabolic and elliptic shells
复制标题
抛物线壳和椭圆壳的科恩不等式中的最佳厚度指数
DOI：
10.1007/s10231-020-01000-6
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
P. Yao
中科院分区：
文献类型：
--
作者：
P. Yao
我们考虑缩放的最佳常数在科恩的第一个不等式的椭圆和抛物壳，这是第一次给出的Grabovsky和Harutyunyan与提示来自测试功能构造的Tovstik和Smirnov的水平上的正式渐近展开。在这里，我们采用的博克纳技术在雷曼几何删除的假设，即中表面的壳是由一个单一的主坐标，特别是，包括封闭的椭圆壳。
We consider the scaling of the optimal constant in Korn’s first inequality for elliptic and parabolic shells which was first given by Grabovsky and Harutyunyan with hints coming from the test functions constructed by Tovstik and Smirnov on the level of formal asymptotic expansions. Here, we employ the Bochner technique in Remannian geometry to remove the assumption that the middle surface of the shell is given by one single principal coordinate, in particularly, including closed elliptic shells.
高斯曲率为零的壳的 Korn 不等式
DOI：
10.1016/j.anihpc.2017.04.004
发表时间：
2018
期刊：
Annales de l'Institut Henri Poincare (C
影响因子：
--
作者：
Grabovsky, Yury;Harutyunyan, Davit
通讯作者：
Harutyunyan, Davit