球面凸集支撑函数的凸性

对球面凸集支撑函数进行了研究,以期找到其本质性质。证明了对任一给定的真闭球凸集,存在其球面支撑函数定义域的一个球凸集分解,使得该球凸集支撑函数在此分解的任一分支上是球面凸或球面凹的。所得结果将有助于系统的球面凸性理论的建立和完善。

齐型空间上的加权形式李氏条件的各种等价形式

本文主要结果是在齐型空间里，对ＢＭＯ函数加权形式的李普西兹（Ｌｉｐｓｃｈｉｔｚ）条件的各种等价形式进行了估计，进而，先前熟知的结果成为这里的特殊的情况．

Periodic Points on the Parabolic Domain

The papers proves that there is one and only one rational neutral periodic points on the bound ary of any parabolic domain.

Interface stress around a nanosized spherical inhomogeneity under asymmetric dynamic loads

In the design and optimization of nanocomposites,the surface/interface stress arising at the inhomogeneity-matrix boundary plays an important role in determining the strength of structures.In this paper,the effect of surface/interface stress on the dynamic stress around a spherical inhomogeneity subjected to asymmetric dynamic loads is investigated.The surface/interface stress effects are taken into account by introducing Gurtin-Murdoch surface/interface elasticity model.The analytical solutions to displacement potentials are expressed by spherical wave function and associated Legendre function.The dynamic stress concentration factors around the spherical nano-inhomogeneity are illustrated and analyzed.The effects of the incident wave number,and the material properties of the interface and inhomogeneity on the dynamic stress around the inhomogeneity are examined.