Asymptotics for the capacity of a condenser with variable potential levels

DOI10.1134/S0037446620040060zbMath1455.30016OpenAlexW3046095088MaRDI QIDQ2203440

V. N. Dubinin

Publication date: 7 October 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446620040060

zbMATH Keywords

Green's functioncondenserconformal capacity

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (3)

On the condensers with variable plates, potential levels and domain of definition ⋮ Capacities of generalized condensers with \(A_1\)-Muckenhoupt weight ⋮ Extremal problems in geometric function theory

Cites Work

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• On the reduced modulus of the complex sphere
• Symmetrization, Green's function, and conformal mappings
• Asymptotics of the module of a degenerating condenser and some of their applications
• Asymptotic behavior of the capacity of a condenser as some of its plates contract to points
• Confromal invariants and function-theoretic null-sets
• Condenser Capacities and Symmetrization in Geometric Function Theory
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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