Optimal discrete Neumann energy in a ball and a circular ring
Analysis of PDEs
2021-12-14 v1 Complex Variables
Abstract
In this paper, we prove some exact estimates for the discrete Neumann energy of a ball and a circular ring in Euclidean space for points located on circles. The proofs are based on dissymmetrization and analysis of the asymptotic behavior of the Dirichlet integral of the potential function.
Keywords
Cite
@article{arxiv.2112.05850,
title = {Optimal discrete Neumann energy in a ball and a circular ring},
author = {Elena Prilepkina and Anna Afanaseva-Grigoreva},
journal= {arXiv preprint arXiv:2112.05850},
year = {2021}
}
Comments
in Russian