B. Fuglede

activity

20102019

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5 papers · 1 filter

math.CA2018

Various concepts of Riesz energy of measures and application to condensers with touching plates

Bent Fuglede, Natalia Zorii

We investigate minimum weak $α$ -Riesz energy problems with external fields in both the unconstrained and constrained settings for generalized condensers $(A_{1}, A_{2})$ such that the c…

math.CA2018

An alternative concept of Riesz energy of measures with application to generalized condensers

Bent Fuglede, Natalia Zorii

In view of a recent example of a positive Radon measure $μ$ on a domain $D \subset R^{n}$ , $n ⩾ 3$ , such that $μ$ is of finite energy $E_{g} (μ)$ relative to the $α$ -Green k…

math.CA2018

Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser

Bent Fuglede, Natalia Zorii

For a finite collection $A = (A_{i})_{i \in I}$ of locally closed sets in $R^{n}$ , $n ⩾ 3$ , with the sign $\pm 1$ prescribed such that the oppositely charged plates a…

math.CA2016

Symmetric function kernels and sweeping of measures

Bent Fuglede

This is a potential theoretic study of balayage (sweeping) of a positive Radon measure on a locally compact (Hausdorff) space onto a closed, or more generally a quasiclosed set (th…

math.CA2015

Minimum Riesz energy problems for a condenser with "touching plates"

P. D. Dragnev, D. Hardin, E. B. Saff +1

Minimum Riesz energy problems in the presence of an external field are analyzed for a condenser with touching plates. We obtain sufficient and/or necessary conditions for the solva…