Optimal Green energy points on the circles in d-space
Analysis of PDEs
2020-04-03 v2
Abstract
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.
Cite
@article{arxiv.2003.12750,
title = {Optimal Green energy points on the circles in d-space},
author = {V. N. Dubinin and E. G. Prilepkina},
journal= {arXiv preprint arXiv:2003.12750},
year = {2020}
}
Comments
8 pages