P. Dragnev

activity

20092026

most citedMinimal Riesz energy on the sphere for axis-supported external fields

24 citations · 79 across the 31 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CA2017

Condensers with touching plates and constrained minimum Riesz and Green energy problems

P. D. Dragnev, B. Fuglede, D. P. Hardin +2

We study minimum energy problems relative to the $α$ -Riesz kernel $∣ x - y ∣^{α - n}$ , $α \in (0, 2]$ , over signed Radon measures $μ$ on $R^{n}$ , $n ⩾ 3$ , associated with a gene…

math.CA2017★ 2 cited

Constrained minimum Riesz energy problems for a condenser with intersecting plates

P. D. Dragnev, B. Fuglede, D. P. Hardin +2

We study the constrained minimum energy problem with an external field relative to the $α$ -Riesz kernel $∣ x - y ∣^{α - n}$ of order $α \in (0, n)$ for a generalized condenser $\mathbf A=(A…

math-ph2017

Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere --- the Exceptional Case

Johann S. Brauchart, Peter D. Dragnev, Edward B. Saff +1

We consider the minimal discrete and continuous energy problems on the unit sphere $S^{d}$ in the Euclidean space $R^{d + 1}$ in the presence of an external field due…