Recovering formulas for equilibrium measures in vector potential theory with constraints and external fields

M. A. Lapik


Abstract: The paper considers the p-dimensional equilibrium problem of logarithmic potential theory with constraints and external fields. Equilibrium conditions for such problems are written. Are offered formulas for recovering of equilibrium measures by means of families of equilibrium sets, ones are analogous to the Buyarov–Rakhmanov formulas.

Keywords: mathematical problems and theory of numerical methods.

DOI: 10.20948/prepr-2018-203

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