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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2023 Volume 23, Number 2, Pages 184–189 (Mi dvmg517)

An asymptotic formula for the capacity of a condenser when all its plates are degenerate

V. N. Dubinin

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: An asymptotic formula is given for the capacity of a generalized condenser with variable potential levels, the domain of the condenser and the degeneracy of all its plates.

Key words: functional asymptotic formula, conformal capacity, condenser, Neumann function.

UDC: 517.54

MSC: Primary 30C75; Secondary 30C85

Received: 12.07.2023
Accepted: 14.11.2023

DOI: 10.47910/FEMJ202316



© Steklov Math. Inst. of RAS, 2025