Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620379 | Journal of Mathematical Analysis and Applications | 2009 | 24 Pages |
Abstract
We investigate the minimal Riesz s-energy problem for positive measures on the d-dimensional unit sphere Sd in the presence of an external field induced by a point charge, and more generally by a line charge. The model interaction is that of Riesz potentials |x−y|−s with d−2⩽s
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