Condenser energy under holomorphic motions

zbMath1273.31001MaRDI QIDQ351829

Stamatis Pouliasis

Publication date: 10 July 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1369841799

zbMATH Keywords

capacitydilationcondenserholomorphic motionsuperharmonic functionequilibrium energy

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) 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 (4)

Logarithmic capacity under holomorphic motions in higher dimensions ⋮ Minimizing capacity among linear images of rotationally invariant conductors ⋮ Continuity of condenser capacity under holomorphic motions ⋮ Asymptotic behavior of the capacity of a condenser as some of its plates contract to points

Cites Work

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• Elliptic, hyperbolic, and condenser capacity: geometric estimates for elliptic capacity
• Generalized condensers and the asymptotics of their capacities under degeneration of some plates
• Extremal problems involving logarithmic and Green capacity
• On the equilibrium measure and the capacity of certain condensers
• Harmonic Function Theory
• Capacities of certain plane condensers and sets under simple geometric transformations
• Holomorphic Motions and Polynomial Hulls
• Invariance of green equilibrium measure on the domain
• Boundary effects for an electrostatic condenser

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