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Extremal metrics and modulus

I. Anić;  M. Mateljević;  Dragomir Šarić — 2002

Czechoslovak Mathematical Journal

We give a new proof of Beurling’s result related to the equality of the extremal length and the Dirichlet integral of solution of a mixed Dirichlet-Neuman problem. Our approach is influenced by Gehring’s work in ℝ 3 space. Also, some generalizations of Gehring’s result are presented.

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