论文标题
D空间的圆圈上的最佳绿色能点
Optimal Green energy points on the circles in d-space
论文作者
论文摘要
我们对离散电荷的绿色能量进行了两个精确的估计,集中在圆圈上的点上,就D二维欧几里得空间中的同心旋转域而言,D> 2。
We give two precise estimates for the Green energy of a discrete charge, concentrated in the points on the circles, with respect to the concentric rotation domain in the d-dimensional Euclidean space, d>2.The proof is based on the application of a dissymmetrization, extremal metrics approach and an asymptotic formula for the condenser capacities in the case when some of its plates contract to given points.