Robin functions and distortion of capacity under conformal mapping

DOI10.1080/17476939308814628zbMath0793.30018OpenAlexW2046819314MaRDI QIDQ4292442

Peter Duren, M. M. Schiffer

Publication date: 15 August 1994

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939308814628

zbMATH Keywords

Green's functionvariational methodextremal problemsRobin functionRobin capacity

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) 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 (9)

On quadratic forms generated by Neumann functions ⋮ Elliptic capacity and its distortion under conformal mapping ⋮ The Robin function and conformal welding -- a new proof of the existence ⋮ Transfinite diameter with respect to the Neumann function ⋮ Extremal point methods for Robin capacity ⋮ On variational principles of conformal mappings ⋮ Robin functions and distortion theorems for regular mappings ⋮ Upper Bound for Distortion of Capacity Under Conformal Mapping ⋮ Hyperbolic capacity and its distortion under conformal mapping

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