Optimal discrete Neumann energy in a ball and an annulus

DOI10.33048/semi.2022.19.010zbMath1483.35080arXiv2112.05850OpenAlexW4220980745MaRDI QIDQ2667898

Anna Sergeevna Afanaseva-Grigoreva, Elena G. Prilepkina

Publication date: 2 March 2022

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05850

zbMATH Keywords

Green functionLaplaciandiscrete Neumann energy

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08)

Related Items (1)

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Cites Work

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• On quadratic forms generated by Neumann functions
• Robin functions and energy functionals of multiply connected domains
• Optimal Green energy points on the circles in \(d\)-space
• The Riesz energy of the N th roots of unity: an asymptotic expansion for large N
• Representation of Green’s function of the Neumann problem for a multi-dimensional ball
• Green energy and extremal decompositions
• Discrete Energy on Rectifiable Sets
• The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
• Some Inequalities in the Theory of Functions
• Quadratic forms involving Green's and Robin functions

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