Browse Teach Curate

Riesz Equilibrium Measures on a Ball in an External Field

The solution of the weighted Riesz energy minimization problem for a charge distribution constrained to a ball when an external point charge acts on it, including how to locate the support of the equilibrium measure for a repulsive external charge. The key tool is a modified iterated balayage that accounts for the mass loss peculiar to sweeping out Riesz potentials, with related treatments of Coulomb and logarithmic energy.

Data Text

Riesz equilibrium on a ball in the external field of a point charge P.D. Dragnev, R. Orive, E.B.

Primary research in classical potential theory (math.CA) on the weighted Riesz energy minimization problem for a measure on a d-dimensional ball under the external field of a point charge placed abov…