Asymptotic behavior of the capacity of a condenser as some of its plates contract to points

DOI10.1134/S0001434614070190zbMath1315.30004OpenAlexW2062419153MaRDI QIDQ2342354

V. N. Dubinin

Publication date: 11 May 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434614070190

zbMATH Keywords

Green functionRobin functioncapacity of a generalized condensercondenser with degenerating plates

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 (5)

Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case ⋮ Asymptotics for the capacity of a condenser with variable potential levels ⋮ Some Unsolved Problems About Condenser Capacities on the Plane ⋮ Uniform convergence of Green’s functions ⋮ On the reduced modulus of the complex sphere

Cites Work

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• Extremal Problems for Schlicht Functions in the Exterior of the Unit Circle
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Quadratic forms involving Green's and Robin functions
• Boundary effects for an electrostatic condenser

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