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

Dubinin, V. N., Prilepkina, E. G.

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.

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