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arXiv · 2112.05850

Optimal discrete Neumann energy in a ball and a circular ring

Elena Prilepkina·Anna Afanaseva-Grigoreva
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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.

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Elena Prilepkina, Anna Afanaseva-Grigoreva. 2021-12-09. Optimal discrete Neumann energy in a ball and a circular ring. https://arxiv.org/abs/2112.05850

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