Abstract
Given a condenser E contained in a regionG⊂ℝp where p ≥ 3, we define two capacity characteristics, the first one in terms of Borel charges and Green energies, and the second one in terms of trial functions and Dirichlet integrals. We derive relations between them and write them in terms of 2-moduli of certain corresponding families of curves and surfaces.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 7, pp. 912–918, July, 1990.
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Zorii, N.V. On capacities of condensers. Ukr Math J 42, 807–813 (1990). https://doi.org/10.1007/BF01062083
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DOI: https://doi.org/10.1007/BF01062083