Approximation of the equilibrium distribution by distributions of equal point charges with minimal energy

DOI10.1090/S0002-9947-98-02187-4zbMath0892.31006MaRDI QIDQ4382360

M. A. Monterie, Jacob Korevaar

Publication date: 30 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Kelvin transformcapacityharmonic measureharmonic functionsintegral representationsenergiesLipschitz domainsequilibrium distributionsFekete pointspotentialsHarnack-type inequalitieselectrostatic fieldslevel surfacescapacity-regular setsGreen functions and their gradients

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (5)

Estimation of Fekete points ⋮ Energy functionals, numerical integration and asymptotic equidistribution on the sphere. ⋮ Fekete potentials and polynomials for continua ⋮ On approximation of subharmonic functions ⋮ Computational cost of the Fekete problem. I: The forces method on the 2-sphere

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