Optimal discrete Neumann energy in a ball and an annulus

Authors

  • Elena Prilepkina Far Eastern Federal University, Institute of Applied Mathematics, FEBRAS
  • Anna Afanaseva-Grigoreva Far Eastern Federal University

Keywords:

discrete energy, Green function, Neumann function, dissymmetrization.

Abstract

In this paper, we prove some exact estimates for the discrete Neumann energy of a ball and an annulus 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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Published

2022-02-03

Issue

Vol. 19 No. 1 (2022): Volume 19, N 1

Section

Real, complex and functional analysis